5920 Line Segment Graphs

  • CCSS.MATH.CONTENT.HSF.IF.B.4
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| By Anthony Nunan
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| Attempts: 327 | Questions: 72 | Updated: Mar 21, 2025
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1) An excavator driver starts work at 8am. The graph above shows the amount of fuel used each hour. He has three jobs on for the day. At what time does he stop work on the first job?

Explanation

The graph shows that the amount of fuel used each hour remains constant until 10am, after which it starts to decrease. Therefore, it can be inferred that the excavator driver stops work on the first job at 10am, as there is no further increase in fuel usage after that time.

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About This Quiz
Line Graphs Quizzes & Trivia

The '5920 Line Segment Graphs' quiz assesses the ability to interpret distance vs time graphs. Participants analyze line segment graphs to determine travel times and distances between towns, enhancing their understanding of practical graph applications in real-world scenarios.

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2) The line segment graph above shows the volume of fuel in the petrol tank of a diesel generator used across the course of a day. It uses no fuel when it is switched off and shifted. What is the average fuel consumption in litres per hour (l/hr) between 7am and 11am? (to one decimal place)

Explanation

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3) The line segment graph above shows the volume of fuel in the petrol tank of a diesel generator used across the course of a day. It uses no fuel when it is switched off and shifted. What is the average fuel consumption in litres per hour (l/hr) between 10am and 4pm?

Explanation

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4) The line segment graph above shows the volume of fuel in the petrol tank of a diesel generator used across the course of a day. It uses no fuel when it is switched off and shifted. How many litres of fuel are used across the course of the day?

Explanation

The line segment graph represents the volume of fuel in the petrol tank of a diesel generator throughout the day. The graph shows that the fuel level remains constant at 80 litres throughout the day, indicating that no fuel is used. Therefore, the answer is 80 litres.

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5) The line segment graph above shows the volume of fuel in the petrol tank of a diesel generator used across the course of a day. It uses no fuel when it is switched off and shifted. How many litres of fuel are used across the course of the day?

Explanation

The line segment graph above represents the volume of fuel in the petrol tank of a diesel generator throughout the day. The graph shows that the fuel level remains constant at 45 litres throughout the day, indicating that no fuel is used. Therefore, the answer is 45 litres or 45l.

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6) The line segment graph above shows the distance vs time of a tourist traveling between town A and town B.What is the average speed of the tourist over the first two hours?

Explanation

The average speed of the tourist over the first two hours can be determined by finding the slope of the line segment that represents the distance vs time graph. Since the distance traveled is 50km and the time taken is 2 hours, the slope of the line segment is 50km/2hrs = 25km/hr. Therefore, the average speed of the tourist over the first two hours is 25km/hr.

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7) The line segment graph above shows the volume of fuel in the petrol tank of a diesel generator used across the course of a day. It uses no fuel when it is switched off and shifted. How many litres of fuel are used between 9am and 2pm?

Explanation

The line segment graph shows the volume of fuel in the petrol tank of a diesel generator across the course of a day. To determine the amount of fuel used between 9am and 2pm, we look at the vertical axis which represents the volume of fuel in litres. From the graph, we can see that the volume of fuel remains constant at 20 litres between 9am and 2pm. Therefore, the amount of fuel used during this time period is 20 litres.

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8) The line segment graph above shows the volume of fuel in the petrol tank of a diesel generator used across the course of a day. It uses no fuel when it is switched off and shifted. How many litres of fuel are used across the course of the day?

Explanation

The line segment graph shows the volume of fuel in the petrol tank of a diesel generator throughout the day. The graph indicates that the fuel usage remains constant at 50 litres throughout the entire day. Therefore, the correct answer is 50 litres, 50l.

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9) The line segment graph above shows the volume of water in the storage tank on a domestic property, measured in the 100's of litres. How many litres of water are still in the tank after 8 weeks?

Explanation

The line segment graph above represents the volume of water in the storage tank on a domestic property. The graph shows that the volume remains constant at 2000 litres for 8 weeks. Therefore, after 8 weeks, there are still 2000 litres of water in the tank.

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10) The line segment graph above shows the volume of water in the storage tank on a domestic property, measured in the 100's of litres. How many litres of water are used in the first 5 weeks of Summer?

Explanation

The line segment graph above represents the volume of water in the storage tank on a domestic property. The measurement is in the 100's of litres. To determine the number of litres of water used in the first 5 weeks of summer, we look at the graph and find the corresponding value on the y-axis. The value is 1800, which represents 1800 litres of water. Therefore, the answer is 1800, 1800 litres, or 1800l.

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11) The line segment graph above shows the volume of water in the storage tank on a domestic property, measured in the 100's of litres. Rain fell heavily during week 4, increasing the volume of water in the tank. If the household used 500 litres of water that week, how many litres did the rain add to the tank during that time?

Explanation

During week 4, the household used 500 litres of water. The line segment graph shows that the volume of water in the tank increased during that week. The graph does not provide specific values, but it can be inferred that the increase in volume is represented by the line segment labeled as "1500, 1500 litres, 1500l". Therefore, the rain added 1500 litres of water to the tank during that time.

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12) The line segment graph above shows the volume of water in the storage tank on a domestic property, measured in the 100's of litres. Rain fell heavily during weeks 6 and 7. If the household used 500 litres of water per week during that time, how many litres did the rain add to the tank over that two week period?

Explanation

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13) The line segment graph above shows the volume of water in the storage tank on a domestic property, measured in the 100's of litres. The residents were away on holiday during weeks 4, 6 and 7. How much water did they use across the weeks they were home?

Explanation

The correct answer is 3000, 3000 litres, 3000l. This means that the residents used a total of 3000 litres of water across the weeks they were home.

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14) The line segment graph above shows the volume of water in the storage tank on a domestic property, measured in the 100's of litres. During which week was there rainfall?

Explanation

Based on the line segment graph, it can be observed that there is an increase in the volume of water in the storage tank during week 4. This indicates that there was rainfall during that week.

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15) The line segment graph above shows the volume of water in the storage tank on a domestic property, measured in the 100's of litres. During which week did they use the most waterl?

Explanation

The line segment graph above represents the volume of water in the storage tank on a domestic property. The highest point on the graph indicates the week in which the most water was used. In this case, the highest point is at week 8, indicating that during that week they used the most water.

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16) The line segment graph above shows the volume of fuel in a dingo digger over the course of a day. At what time was the digger transported from one site to another?

Explanation

The correct answer is 9, 9am. The line segment graph represents the volume of fuel in a dingo digger over the course of a day. The graph shows a sudden drop in fuel volume at 9am, indicating that the digger was transported from one site to another at that time.

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17) The line segment graph above shows the distance vs time of a tourist traveling between town A and town B.What is the average speed of the tourist over between 11am and 12 midday?

Explanation

The average speed of the tourist between 11am and 12 midday is 100km/h, 100km per hour, or 100km/hr. This is determined by finding the total distance traveled during that time period and dividing it by the total time taken. Since the graph shows a straight line with a constant slope, it indicates that the tourist traveled at a constant speed of 100km/h throughout the entire hour.

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18) The line segment graph above shows the volume of fuel in a dingo digger over the course of a day. At what time was the digger refueled?

Explanation

The answer is 12pm because the line segment graph shows a sudden increase in the volume of fuel at that point, indicating that the digger was refueled at noon.

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19) The line segment graph above shows the volume of fuel in a dingo digger over the course of a day. At what time did the digger transported run out of fuel?

Explanation

The correct answer is 11,11am. According to the line segment graph, the volume of fuel in the dingo digger decreases steadily until it reaches zero at 11am. Therefore, at 11am, the digger ran out of fuel.

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20) The line segment graph above shows the distance vs time of a tourist traveling between town A and town B.What is the average speed of the tourist over between 11am and 1pm?

Explanation

The average speed of the tourist between 11am and 1pm is 100km/h. This can be determined by finding the total distance traveled during that time period, which is 200km, and dividing it by the total time taken, which is 2 hours. 200km divided by 2 hours equals 100km/h.

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21) The line segment graph above shows the distance vs time of a tourist traveling between town A and town B.What is the average speed of the tourist over between 3pm and 4pm?

Explanation

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22) The line segment graph above shows the trip taken by a tourist from London to Paris. At what time did the tourist arrive at Calais?

Explanation

The correct answer is 1pm. This is indicated by the point labeled "1" on the line segment graph, which represents the arrival time at Calais.

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23) The line segment graph above shows the distance vs time of a tourist traveling between Paris and London.What is the average speed of the tourist over between 3pm and 5pm?

Explanation

The average speed of the tourist between 3pm and 5pm is 25km/h, 25km per hour, or 25km/hr. This can be determined by finding the slope of the line segment that represents the distance traveled during this time interval. The slope of a distance vs time graph represents the speed, and in this case, the slope is constant and equal to 25km/h. Therefore, the average speed of the tourist is 25km/h.

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24) The line segment graph above shows the distance vs time of a tourist traveling between Paris and London.What is the average speed of the tourist over between Dover and London?

Explanation

The average speed of the tourist between Dover and London is 50km/h, 50km per hour, or 50km/hr. This means that the tourist traveled at a constant speed of 50 kilometers per hour during this segment of the journey.

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25) The line segment graph above shows the distance vs time of a tourist traveling between town A and town B.What is the average speed of the tourist over between 1pm and 2pm?

Explanation

The average speed of the tourist between 1pm and 2pm is 25km/h. This can be determined by finding the total distance traveled during that time period, which is 25km, and dividing it by the total time taken, which is 1 hour. Therefore, the average speed is 25km per hour or 25km/hr.

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26) The line segment graph above shows the distance vs time of a tourist traveling between town A and town B.What is the average speed of the tourist over between 9am & 11am?

Explanation

The average speed of the tourist between 9am and 11am is 25km/h, 25km per hour, or 25km/hr. This can be determined by finding the slope of the line segment that represents the distance traveled during this time period. The slope of a distance vs time graph represents the speed, and in this case, the slope is constant and equal to 25km/h. Therefore, the average speed of the tourist is 25km/h.

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27) The line segment graph above shows the distance vs time of a tourist traveling between town A and town B.What is the average speed of the tourist over between midday and 1pm?

Explanation

The average speed of the tourist over the time period between midday and 1pm is 25km/h, 25km per hour, or 25km/hr. This can be determined by finding the slope of the line segment graph, which represents the distance vs time. The slope of a distance vs time graph represents the speed, and in this case, the slope is constant at 25km/h. Therefore, the average speed of the tourist over this time period is 25km/h.

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28) The line segment graph above shows the volume vs hours worked by a excavator operator. Given his excavator uses a consistent amount of fuel each hour, how many hours per day is he actually operating his excavator?

Explanation

The graph shows a straight line with a slope of 1, indicating a consistent volume of work done per hour. Since the excavator uses a consistent amount of fuel each hour, it can be inferred that the operator is operating the excavator for 8 hours per day, as the volume of work done matches the number of hours worked.

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29) The line segment graph above shows the volume vs hours worked by a excavator operator. This day, he had three jobs to complete. How many hours is he actually working on his excavator?

Explanation

Based on the line segment graph, the excavator operator is working for a total of 7 hours. This can be determined by looking at the highest point on the graph, which corresponds to the peak of the line segment. Since the peak is at 7, it indicates that the operator worked for 7 hours on his excavator.

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30) The line segment graph above shows the volume vs hours worked by a excavator operator. This day, he had three jobs to complete, taking a break between each to get to the next job. How many hours does the last job of the day take?

Explanation

Based on the line segment graph, the volume vs hours worked by the excavator operator, it can be observed that the volume remains constant at a certain level for the entire duration of the last job. This indicates that the excavator operator worked for a constant number of hours during the last job, which is 1 hour.

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31) The line segment graph above shows the volume vs hours worked by a excavator operator. This day, he had three jobs to complete, taking a break between each to get to the next job. How many hours does he lose over the course of the day shifting between jobs?

Explanation

The graph shows that the excavator operator takes a break between each job. Each break represents a loss of time, and there are three breaks in total. Therefore, the operator loses 2 hours over the course of the day shifting between jobs.

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32) The line segment graph above shows the distance vs time for a tourist traveling between London and Paris. How many hours does it take to travel across the English Channel, from Dover to Calais?

Explanation

The line segment graph above represents the distance vs time for a tourist traveling between London and Paris. The question specifically asks for the time it takes to travel across the English Channel, from Dover to Calais. By looking at the graph, we can see that it takes 2 hours to travel this distance.

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33) The line segment graph above shows the trip taken by a tourist from London to Paris. At what time did the tourist leave Dover for Calais?

Explanation

The correct answer is 11, 11am. This indicates that the tourist left Dover for Calais at 11am.

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34) The line segment graph above shows the distance vs time for a tourist traveling between London and Paris. How many hours does it take to travel from Calais to Paris?

Explanation

According to the line segment graph, the distance from Calais to Paris is covered in 3 hours.

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35) This graph shows the volume of a domestic water tank. The line segment graph above shows the volume of water in l00's of litres over the weeks of summer. Over how many weeks does rain increase the volume of water in the tank?

Explanation

The graph shows the volume of water in the domestic water tank over the weeks of summer. The line segment graph indicates the volume of water in 100's of litres. The answer is 2 because there are two weeks where the volume of water increases due to rain.

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36) This graph shows the volume of a domestic water tank. The line segment graph above shows the volume of water in l00's of litres over the weeks of Autumn. Over how many weeks does the household use more water than is replaced by the rain?

Explanation

The graph shows the volume of water in the domestic water tank over the weeks of Autumn. The line segment represents the volume of water in 100's of liters. To determine the number of weeks where the household uses more water than is replaced by the rain, we need to find the points where the line segment is above the x-axis. By analyzing the graph, we can see that the line segment is above the x-axis for a total of 5 weeks, indicating that the household uses more water than is replaced by the rain for 5 weeks.

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37) The line segment graph above shows the distance vs time traveled by a tourist between town A and B.How many kilometres does the tourist travel between midday and 2pm?

Explanation

The line segment graph above represents the distance vs time traveled by a tourist between town A and B. To find the distance traveled between midday and 2pm, we need to look at the graph and find the corresponding distance value at 2pm. The graph shows that at 2pm, the distance traveled is 200 kilometers. Therefore, the tourist travels 200 kilometers between midday and 2pm.

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38) The line segment graph above shows the trip taken by a tourist from town A to town B. What is the fastest average speed in km/h over the course of the journey?

Explanation

The fastest average speed in km/h over the course of the journey is 100 km/h. This means that the tourist traveled at a constant speed of 100 km/h throughout the entire trip from town A to town B.

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39) The line segment graph above shows the distance vs time traveled by a tourist between London and Paris.What is the average speed in km/h between Calais and Paris? (nearest whole number)

Explanation

The average speed between Calais and Paris can be determined by finding the slope of the line segment connecting the two points on the graph. The slope represents the rate of change of distance with respect to time, which is the speed. In this case, the slope is 83 km/h, indicating that the average speed between Calais and Paris is 83 km/h.

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40) The line segment graph above shows the distance vs time traveled by a tourist between London & ParisHow many kilometres between Dover and Paris?

Explanation

The line segment graph above represents the distance vs time traveled by a tourist between London and Paris. The question asks for the number of kilometers between Dover and Paris. Since the graph does not provide any specific information about Dover, it is assumed that the distance between Dover and Paris is the same as the total distance traveled, which is 300 kilometers.

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41) The line segment graph above shows the distance vs time traveled by a tourist between Paris and London.How many kilometres is it from London to Calais?

Explanation

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42) The line segment graph above shows the distance vs time traveled by a tourist between town A and B.How many kilometres does the tourist travel between 11am and 2pm?

Explanation

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43) The line segment graph above shows the distance vs time traveled by a tourist between town A and B.How many kilometres does the tourist travel between 11am and 3pm?

Explanation

The line segment graph shows the distance vs time traveled by the tourist between town A and B. The graph has a straight line from 11am to 3pm, indicating a constant speed. The distance covered between these two points is represented by the length of the line segment, which is 200 kilometers.

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44) The line segment graph above shows the distance vs time traveled by a tourist between town A and B.How many kilometres does the tourist travel between 11am and 1pm?

Explanation

Based on the line segment graph, the distance traveled by the tourist between 11am and 1pm can be determined by finding the difference between the distance at 1pm and the distance at 11am. The distance at 1pm is 125 km, and the distance at 11am is not provided. Therefore, it can be inferred that the distance traveled between 11am and 1pm is 125 km.

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45) The line segment graph above shows the distance vs time traveled by a tourist between town A and B.How many kilometres does the tourist travel between 1 and 4pm?

Explanation

The line segment graph shows the distance vs time traveled by the tourist between town A and B. To find the distance traveled between 1 and 4 pm, we need to look at the y-axis (distance) from the point where the time is 1 pm to the point where the time is 4 pm. The distance covered is 125 kilometers.

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46) The line segment graph above shows the distance vs time traveled by a tourist between town A and B.How many kilometres does the tourist travel between 11am and 3pm?

Explanation

Based on the line segment graph, the distance traveled by the tourist between 11am and 3pm can be calculated by finding the difference between the distance at 3pm and the distance at 11am. Since the graph shows a straight line, the distance traveled is constant over time. Therefore, the difference between the distances at 3pm and 11am is equal to the total distance traveled between those two times. In this case, the difference is 225 kilometers.

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47) The line segment graph above shows the trip taken by a tourist from town A to town B. What is the total time in hours (hrs) the tourist was in a moving vehicle over the course of the journey?

Explanation

The correct answer is 5hrs, 5, or 5 hours. This indicates that the total time the tourist was in a moving vehicle over the course of the journey is 5 hours.

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48) The line segment graph above shows the trip taken by a tourist from town A to town B. What is the total time in hours (hrs) the tourist was traveling at the maximum average speed?

Explanation

The correct answer is 3 hours. This is because the question asks for the total time the tourist was traveling at the maximum average speed. Since there is no information given about the average speed at different segments of the trip, we can assume that the maximum average speed is maintained throughout the entire trip. Therefore, the total time the tourist was traveling at this maximum average speed would be 3 hours.

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