Quick Test On Time-speed-distance
Time - Speed - Distance is one of the major topics in Quantitative Aptitude Section. We can expect two or three questions from this specific topic. Practice this test and also share with your friends.
Questions and Answers
- 1.
A and B are 25 km apart. If they travel towards each other, they meet after one hour. A travels faster than B. Find the speed of A, if he overtakes B after 5 hours, moving in the direction of B.
- A.
20 km/hr
- B.
18 km/hr
- C.
15 km/hr
- D.
25 km/hr
- E.
None
Correct Answer
C. 15 km/hrExplanation
Let the speed of A and B be u km/hr and v km/hr respectively
When they travel in opposite directions u + v = 25 ------ > (i)
When they travel in same direction 5u – 5v = 25
u – v = 5 ----------- > (ii)
Solving equation (i) and (ii), we get
u = 15 km/hr.Rate this question:
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- 2.
A man in a train notices that he can count 24 telephone posts in 3 minutes. If they are each 60m apart, then what is the speed of the train?
- A.
27.6 kmph
- B.
25 kmph
- C.
28.3 kmph
- D.
24.6 kmph
- E.
None
Correct Answer
A. 27.6 kmphExplanation
24 telephone posts each 60m apart implies the distance between frist post to the last post is (24 – 1) X 60
= 23 X 60 = 1380m
∴ Distance = 1380 m
∴ Speed of the train = 1380/3 X 60 = 138/18 m/s
= (138/18 X 18/5) = 27.6 kmph.Rate this question:
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- 3.
A train can travel 50% faster than a car. Both start from point A at the same time and reach point B, which is 330 km away fro A, at the same time. On the way, however, the train lost about 88 minutes while stopping at the station. The speed of the train is
- A.
110.5 kmph
- B.
112.5 kmph
- C.
115.6 kmph
- D.
113.5 kmph
- E.
None
Correct Answer
B. 112.5 kmphExplanation
Let the speed of the car be z kmph
Then the speed of the train = x X 150/100 = 3x/2
Now, 330/x – 330/ 3x/2 = 88/60
330/x – 220/x = 88/60
330 – 220/x = 88/60
110/x = 88/60
∴ x = 60 X 110/88 = 75
∴ The speed of the car = 75 kmph
∴ Speed of the train = 3x/2 = 75 X 3/2 = 112.5 kmph.Rate this question:
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- 4.
Two trains A and B, start from stations X and Y towards each other. They take 4 hours 48 minutes and 3 hours 20 minutes to reach Y and X respectively after they meet. If train A is moving at 45 km/hr, then the speed of train B is
- A.
60 kmph
- B.
45 kmph
- C.
50 kmph
- D.
54 kmph
- E.
None
Correct Answer
D. 54 kmphExplanation
Let the speed of train A be SA = 45 kmph and that of train B be SB
Then, time taken by train A = TA
= 4 hours 48 minutes = 4 + 48/60 = 24/5
Time taken by train B = TB
= 3 hours 20 minutes = 3 1/3 hours = 10/3 hours
Using formula SA/SB = √TB/TA
∴ 45/SB = √ 10/3 X √5/24 = √25/36 = 5/6
SB = 45 X 6/5 = 54 kmph.Rate this question:
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- 5.
The distance between two places A and B is 320 km. A car departs from place A for place B at a speed of 55 kmph at 7 am. Another car departs from place B for place A at a speed of 45 kmph at 11 am. At what time will both cars meet each other?
- A.
12:00 AM
- B.
12:00 PM
- C.
11:00 AM
- D.
12.30 pm
- E.
None
Correct Answer
B. 12:00 PMExplanation
Distance travelled by the first car in 4 hours = Speed X Time = 55 X 4 = 220 km
Remaining distance = 320 – 220 = 100 km
Time for both cars to meet = Distance/Relative speed
= 100/55 + 45 = 100/100 = 1 hour
∴ Both the cars will meet after 1 hour means at (11 am + 1) = 12 pm.Rate this question:
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- 6.
A train running at the speed of 35 metres per second crosses a bridge in 20 seconds. Another train which is 140 metres shorter than the previous train crosses the same bridge at the speed of 40 metres per second. Find the time taken by the second train to cross the bridge.
- A.
14 seconds
- B.
25 seconds
- C.
20 seconds
- D.
10 seconds
- E.
None
Correct Answer
A. 14 secondsExplanation
Let the length of the bridge be x m and that of first train be y m.
∴ x + y/35 = 20
∴ x + y = 700
Again, x + (y – 140)/40 = t
x + y – 140/40 = t
700 – 140/40 = t
∴ t = 560/40 = 14 seconds.Rate this question:
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- 7.
A train running at a speed of 194.4 kmph passes a man walking in opposite direction at the speed of 6 m/sec in 15 seconds. What is the length of the train?
- A.
600 m
- B.
800 m
- C.
900 m
- D.
1000 m
- E.
None
Correct Answer
C. 900 mExplanation
Relative speed = 194.4 X 5/18 +6
= 60 m/sec
∴ Time = 15 seconds
∴ Length of the train = 60 X 15 = 900 metres.Rate this question:
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- 8.
A man takes a total of 6 hours 30 minutes by walking to a certain place and coming back by cycle. He would have gained 1 hour 30 minutes by cycling both ways. The time he would take to walk both ways is
- A.
8 hours
- B.
7 hours
- C.
10 hours
- D.
12 hours
- E.
None
Correct Answer
A. 8 hoursExplanation
By cycling + by walking = 6 hours 30 minutes
One way by cycling = 6 hrs 30 min – 1 hr 30 min/2
= 2 hours 30 minutes
∴ By walking both ways = 2 (6 hrs 30 min – 2 hrs 30 min) = 8 hours.Rate this question:
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- 9.
A person travelled a distance of 30 km in 8 hours. He travelled partly on foot at the rate of 3 kmph and partly on bicycle at the rate of 5 kmph. The distance travelled on foot is
- A.
14 km
- B.
15 km
- C.
16 km
- D.
17 km
- E.
20 km
Correct Answer
B. 15 kmExplanation
Let the distance travelled on foot be x km
Then, x/3 + (30 – x)/5 = 8
5x + 3 (30 – x) = 120
∴ x = 15 km.Rate this question:
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- 10.
A train running at 75 kmph crosses a platform in 1 minute. What is the length of the platform (in metres)?
- A.
1250
- B.
1660
- C.
1800
- D.
Data Inadequate
- E.
None
Correct Answer
D. Data InadequateExplanation
Length of the train is not given
We know that
Time = Length of train + Length of platform/Speed
1 = Length of train + Length of platform/ 75 X 5/18
Hence we can’t determine the length of the platform.Rate this question:
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- 11.
A train travelling at a speed of 60 km/hr crosses a platform in 20 seconds. What is the length of the train?
- A.
20 m
- B.
35 m
- C.
100 m
- D.
Data Inadequate
- E.
None
Correct Answer
D. Data InadequateExplanation
Speed = Distance/Time
60 = L + P/20
∴ L + P = 60 X 20
Hence we can’t determine the length of the platform.Rate this question:
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- 12.
Car M takes 5 hours to travel from Point A to B. It would have taken 6 hours, if the same car had travelled the same distance at a speed which was 15 kmph less than its original speed. What is the distance between Points A and B?
- A.
500 km
- B.
450 km
- C.
600 km
- D.
650 km
- E.
None
Correct Answer
B. 450 kmExplanation
Let the distance be D km
Then, D/5 = D/6 + 15
D/5 – D/6 = 15
6D – 5D/30 = 15
∴ D = 15 X 30 = 450 km.Rate this question:
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- 13.
Ram started his journey at 8 am at 8 km/hr. Hamid started from the same spot in the same direction at 8:30 am at 10 km/hr. Hamid overtakes Ram at
- A.
11:00 AM
- B.
12.30 pm
- C.
12 noon
- D.
10.30 am
- E.
None
Correct Answer
D. 10.30 amExplanation
Relative speed = 10 – 8 = 2 kmph
Ram covers the distance between 8 am to 8:30 am = 8/2 = 4 km
∴ Reqd time = 4/2 = 2 hours
Hence Hamid overtakes Ram at (8:30 am + 2 hrs) = 10:30 am.Rate this question:
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- 14.
A train travelling at 57 km/hr passes another train half of its length travelling in the opposite direction at 33 km/hr in 18 seconds. If it passes a railway platform in 1.2 minutes, what is the length of the platform?
- A.
640 metres
- B.
840 metres
- C.
740 metres
- D.
720 metres
- E.
None
Correct Answer
B. 840 metresExplanation
Distance travelled with relative speed 57 + 33 = 90 km/hr in 18 seconds
90 (5/18) X 18 = 450 m
Ratio of lengths = First : Second
2 : 1
∴ Length of first train = 300 m
Now, distance travelled by 1st train at 57 km/hr in 72 seconds
= 57 (5/18) X 72 = 1140 m
∴ Length of platform = 1140 – 300 = 840 m.Rate this question:
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- 15.
A car covers a distance between A and B in 45 minutes. If the speed of the car is reduced by 8 km per hour then the same distance is covered by 49.5 minutes. What is the distance between A and B?
- A.
60 km
- B.
76 km
- C.
80 km
- D.
66 km
- E.
None
Correct Answer
D. 66 kmExplanation
Let the distance between A and B be d km
Then, d/ 45/60 – d/ 49.5/60 = 8
4d/4 – 120d/99 = 8
132d – 120d/99 = 8
∴ d = 8 X 99/12 = 66 km.Rate this question:
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- 16.
A train is scheduled to cover the distance between two stations 90 km apart in one hour. If it travels 55 km at a speed of 80 kmph, find the speed for the remaining journey to complete it within the scheduled time.
- A.
112 kmph
- B.
115 kmph
- C.
118 kmph
- D.
120 kmph
- E.
None
Correct Answer
A. 112 kmphExplanation
Distance between two stations = 90 km
Let the speed for the remaining journey be x kmph
∴ 55/80 + 35/x = 1
35/x = 1 – 55/80 = 25/80
∴ x = 35 X 80/25
∴ x = 112 kmph
∴ Train has to move at the speed of 112 kmph.Rate this question:
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- 17.
Mohit travels 972 km in 10.5 hours in two stages. In the first part of the journey, he travels by bus at the speed of 78 km/hr. In the second part of the journey, he travels by train at the speed of 112 km/hr. How much distance does the travel by train?
- A.
504 km
- B.
512km
- C.
516 km
- D.
498 km
- E.
None
Correct Answer
A. 504 kmExplanation
We use only allegation on speed (km/hr) to get ration of time spent in bus and train.
Overall speed = 972/10.5 = 1944/21 = 648/7
Using allegation method
Bus Train
78 112
92 4/7
19 3/7 : 14 4/7
136/7 : 102/7
136 : 102
4 : 3
Time spent in train = 10.5 (3/7) = 4.5 hours = 504 km.Rate this question:
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- 18.
Sitting in a train, Kapil notices that he can count 21 telephone posts in one minute. If they are known to be 80 metres part, then at what speed is the train travelling?
- A.
96 km/hr
- B.
90 km/hr
- C.
98 km/hr
- D.
92 km/hr
- E.
None
Correct Answer
A. 96 km/hrExplanation
No. of telephone posts = 21
No. of gaps between 21 posts are 20 and two posts are 80 metres apart.
It means 20 X 80 metres covered in 1 minute.
∴ Distance = 20 X 80 = 20 X 80/1000 km
= 1.6 km
∴ Speed of train = 1.6 X 60/1 = 96 km/hr.Rate this question:
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- 19.
A train running at an average speed of 54 kmph crosses a pole in 14 seconds. How much time will a man take to cross the same train if it is stationary, when he is cycling at a speed of 7 kmph? (in seconds)
- A.
102
- B.
112
- C.
126
- D.
108
- E.
None
Correct Answer
D. 108Explanation
Length of train = 54 X 14 X 5/18 = 210 metres
∴ Time taken by the man to cross the stationary train = 210 X 18/ 7 X 5 = 6 X 18
= 108 seconds.Rate this question:
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- 20.
The average speed of a car, a bus and a train together is 68 kmph. The ratio of their speeds is 3 : 5 : 9. What is the average speed of the train and the bus together?
- A.
84 kmph
- B.
74 kmph
- C.
72 kmph
- D.
80 kmph
- E.
None
Correct Answer
A. 84 kmphExplanation
The ratio of the speed of the car, the bus and the train = 3x : 5x : 9x
∴ 3x + 5x + 9x = 68 X 3
17x = 68 X 3
x = 68 X 3/17 = 12 km
∴ Average speed of the train and bus = 5x + 9x/2
= 60 + 108/2
= 168/2 = 84 kmph.Rate this question:
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- 21.
A car covers the first 40 km in 35 minutes and the remaining 105 km in 85 minutes. What is the average speed of the car?
- A.
70 kmph
- B.
72.5 kmph
- C.
75 kmph
- D.
74 kmph
- E.
None
Correct Answer
B. 72.5 kmphExplanation
Avg Speed = Total distance travelled/Time taken to travel the distance
40 + 105/ (35 + 85)/60 = 145/120 X 60 = 72.5 kmphRate this question:
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- 22.
Gaurav drove at the speed of 65 kmph from his home to a resort. While returning he got stuck in traffic and took 3 more hours; he could drives only at the speed of 50 kmph. How many kilometres did he drive each way?
- A.
1200
- B.
1300
- C.
650
- D.
780
- E.
None
Correct Answer
C. 650Explanation
Let the distance be x km
Then, x/50 – x/65 = 3
13x – 10x/650 = 3
∴ x = 3 X 650/3 = 650 kmRate this question:
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- 23.
A 218 metre long train travelling at 63 kmph can cross a platform in 32 seconds. If a man can cross the same platform in 3 minutes, what is the speed of the man (in m/sec)?
- A.
9
- B.
1.9
- C.
2.3
- D.
8
- E.
None
Correct Answer
B. 1.9Explanation
Speed of train = Length of platform + Length of train/Time
Length of platform = 63 X 32 X 5/18 – 218
= 560 – 218 = 342 m
∴ Speed of man = 342/ 3 X 60 = 342/180 = 1.9 m/sRate this question:
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- 24.
A 600-metre-long train crosses a platform is 78 seconds while it crosses a pole in 36 seconds. What is the length of the platform?
- A.
640 m
- B.
700 m
- C.
1300 m
- D.
1400 m
- E.
None
Correct Answer
B. 700 mExplanation
Speed of train = 600/36 = 50/3 m/sec
Let the length of the platform be x metres
Then, x + 600/78 = 50/3
3x + 1800 = 3900
3x = 2100
∴ x = 700 m.Rate this question:
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- 25.
Excluding stoppages, the speed of a bus is 81 km/hr and including stoppages, it is 54 km/hr. For how many minutes does the bus stop per hour?
- A.
20 min
- B.
10 min
- C.
15 min
- D.
30 min
- E.
None
Correct Answer
A. 20 minExplanation
Due to stoppages, bus covers 81 – 54 = 27 km less
∴ Time taken to cover 27 km = 27/81 X 60 = 20 min
Hence the bus stops 20 minutes per hour.Rate this question:
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Mar 20, 2023Quiz Edited by
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