Quantitative Apptitude - Time & Distance Online Test 5

2.

Excluding stoppages,the speed of the bus is 54kmph and including stoppages,it is 45kmph.for how many min does the bus stop per hr?

10min
15min
5min
20min

Correct Answer

A. 10min

Explanation

The bus travels at a speed of 54 kmph excluding stoppages, which means that it covers 54 km in one hour. However, when including stoppages, the average speed of the bus decreases to 45 kmph. This means that the bus spends 9 kmph worth of time on stoppages, as it covers 9 km less in one hour. To find the time spent on stoppages, we can calculate the difference in time it takes to cover 9 km at a speed of 54 kmph and 45 kmph. This comes out to be 10 minutes. Therefore, the bus stops for 10 minutes per hour.

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3.

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?

245
224
264
230

Correct Answer

A. 224

Explanation

The man completes the first half of the journey in 10/2 = 5 hours, and the second half in the remaining 5 hours. Using the formula distance = speed × time, we can calculate the distances traveled in each half. In the first half, the distance is 21 km/hr × 5 hr = 105 km. In the second half, the distance is 24 km/hr × 5 hr = 120 km. Adding these two distances together gives us a total journey of 105 km + 120 km = 225 km. Therefore, the correct answer is 224 km.

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2

4.

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is?

65.5
90.5
87.5
74.5

Correct Answer

A. 87.5

Explanation

The ratio between the speeds of the two trains is given as 7:8. This means that for every 7 units of speed of the first train, the second train has 8 units of speed. We are given that the second train runs 400 km in 4 hours. To find the speed of the first train, we can set up a proportion: 8/7 = 400/x, where x represents the speed of the first train. Solving this proportion, we find that x = 350. Therefore, the speed of the first train is 87.5.

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5.

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

12
8
10
9

Correct Answer

A. 10

Explanation

The speed of the bus without stoppages is 54 kmph, while the speed of the bus with stoppages is 45 kmph. This means that the bus is losing 9 kmph due to the time spent at stoppages. To find out how many minutes the bus stops per hour, we need to convert 9 kmph to minutes. Since 1 kmph is equal to 60 minutes, 9 kmph is equal to 9 * 60 = 540 minutes. Therefore, the bus stops for 540 minutes per hour, which is equivalent to 10 minutes.

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6.

Rita covers a certain distance by a car traveling at a speed of 70 km/h and returns at the starting point riding on a scooter at the speed of 55 km/h. Find her average speed for the whole journey?

62.8
61.6
60
58.8

Correct Answer

A. 61.6

Explanation

Rita covers the same distance twice, once by car and once by scooter. The time taken for each leg of the journey is inversely proportional to the speed. Since the distance is the same, the time taken for each leg is the same. Therefore, the average speed for the whole journey is the total distance divided by the total time taken, which is the sum of the speeds divided by 2. In this case, the average speed is (70 + 55) / 2 = 125 / 2 = 62.5 km/h. The closest option to this value is 61.6 km/h.

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7.

An aeroplane files along the four sides of a square at the speeds of 200,400,600 and 800km/hr.Find the average speed of the plane around the field?

360 kmph
384 kmph
400 kmph
394 kmph

Correct Answer

A. 384 kmph

Explanation

The average speed of the plane around the field can be found by taking the sum of the speeds and dividing it by the number of speeds. In this case, the sum of the speeds is 200 + 400 + 600 + 800 = 2000 km/hr. Since there are four speeds, we divide the sum by 4 to find the average speed. Therefore, the average speed of the plane around the field is 2000/4 = 500 km/hr. However, none of the given options match this result. Therefore, the correct answer is not available.

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8.

Two trains start from A & B and travel towards each other at speed of 50kmph and 60kmph resp. At the time of the meeting the second train has traveled 120km more than the first.the distance between them?

1450 km
1360 km
1320 km
1240 km

Correct Answer

A. 1320 km

Explanation

The two trains are traveling towards each other, so their combined speed is 50 kmph + 60 kmph = 110 kmph. Let's assume that the first train has traveled x km when they meet. Since the second train has traveled 120 km more than the first train, it has traveled x + 120 km. The total distance between the two trains is the sum of the distances traveled by each train, which is x + (x + 120) = 2x + 120 km. Since the combined speed of the trains is 110 kmph, the time taken to meet is (2x + 120) / 110 hours. The distance traveled by each train is equal to its speed multiplied by the time taken, so x = 50 * ((2x + 120) / 110) and solving this equation gives x = 600 km. Therefore, the total distance between the two trains is 2x + 120 = 2 * 600 + 120 = 1320 km.

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9.

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?

1hr
3hr
45min
2hr

Correct Answer

A. 1hr

Explanation

Due to bad weather, the aircraft's average speed for the trip was reduced by 200 km/hr. This means that the aircraft's original average speed was 200 km/hr higher than the reduced speed. Since the distance traveled is constant at 600 km, the original duration of the flight can be calculated by dividing the distance by the original average speed. Since the speed was reduced by 200 km/hr, the original average speed would be (reduced speed + 200 km/hr). The time of flight increased by 30 minutes, which is equal to 0.5 hours. Therefore, the original duration of the flight would be 600 km / (reduced speed + 200 km/hr) + 0.5 hours. Simplifying this expression, we find that the original duration of the flight is 1 hour.

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10.

Walking at 5 of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey?

10min
5min
8min
6min

Correct Answer

A. 10min

Explanation

If the train is walking at 5 of its usual speed, it means it is covering the journey at a slower pace. Since it is 10 minutes too late, we can assume that the train would have been on time if it was traveling at its usual speed. Therefore, the usual time to cover the journey is 10 minutes.

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2

Quantitative Apptitude - Time & Distance Online Test 5

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?

Quiz Preview

Excluding stoppages,the speed of the bus is 54kmph and including stoppages,it is 45kmph.for how many min does the bus stop per hr?

A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km?

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is?

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

Rita covers a certain distance by a car traveling at a speed of 70 km/h and returns at the starting point riding on a scooter at the speed of 55 km/h. Find her average speed for the whole journey?

An aeroplane files along the four sides of a square at the speeds of 200,400,600 and 800km/hr.Find the average speed of the plane around the field?

Two trains start from A & B and travel towards each other at speed of 50kmph and 60kmph resp. At the time of the meeting the second train has traveled 120km more than the first.the distance between them?

In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is?

Walking at 5 of its usual speed, a train is 10 minutes too late. Find its usual time to cover the journey?