Time Speed and Distance MCQs

Maths

Time Speed and Distance MCQs

Practice Time, Speed and Distance MCQs with answers and detailed solutions. Learn train problems, boats and streams, relative speed, average speed, races, journeys and advanced quantitative aptitude questions for competitive examinations.

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Question #341
The speeds of two cars are in the ratio 4 : 3. If they cover the same distance, and the slower car takes 2 hours, how much time does the faster car take?
A. 1.6 hours
B. 1.2 hours
C. 1.8 hours
D. 1.5 hours
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Correct Answer: Option D

Explanation:
Ratio of speeds = 4:3, so ratio of times taken = 3:4. The slower car corresponds to 4 parts = 2 hours => 1 part = 0.5 hours. Time for the faster car = 3 parts = 3 * 0.5 = 1.5 hours.
This question belongs to: Maths Time Speed and Distance
Question #342
A person covers a distance of 100 km at 25 km/h and another 150 km at 50 km/h. Find his average speed for the whole journey.
A. 35.5 km/h
B. 38.25 km/h
C. 35.71 km/h
D. 37.50 km/h
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Correct Answer: Option C

Explanation:
Total distance = 100 + 150 = 250 km. Total time taken = 100/25 + 150/50 = 4 + 3 = 7 hours. Average speed = 250 / 7 = 35.71 km/h.
This question belongs to: Maths Time Speed and Distance
Question #343
Excluding stoppages, a bus travels at 60 km/h and including stoppages it travels at 50 km/h. How many minutes does the bus stop per hour?
A. 12 minutes
B. 8 minutes
C. 15 minutes
D. 10 minutes
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Correct Answer: Option D

Explanation:
Stoppage time per hour = (60 - 50) / 60 = 10 / 60 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.
This question belongs to: Maths Time Speed and Distance
Question #344
A train 120 meters long passes a pole in 6 seconds. What is the speed of the train in km/h?
A. 64 km/h
B. 80 km/h
C. 84 km/h
D. 72 km/h
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Correct Answer: Option D

Explanation:
Speed of train = 120 / 6 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #345
A thief is spotted by a policeman from a distance of 200 meters. The thief runs at 10 km/h and the policeman chases him at 12 km/h. Find the distance covered by the thief before he is caught.
A. 1000 meters
B. 900 meters
C. 1200 meters
D. 1100 meters
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Correct Answer: Option A

Explanation:
Relative speed = 12 - 10 = 2 km/h. Time to catch the thief = 0.2 km / 2 km/h = 0.1 hours. Distance covered by thief = Speed * Time = 10 km/h * 0.1 hours = 1 km = 1000 meters.
This question belongs to: Maths Time Speed and Distance
Question #346
A sound wave travels at 340 m/s. How much distance in kilometers does it cover in 20 seconds?
A. 7.5 km
B. 7.2 km
C. 6.5 km
D. 6.8 km
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Correct Answer: Option D

Explanation:
Distance = Speed * Time = 340 * 20 = 6800 meters. Converting to kilometers = 6800 / 1000 = 6.8 km.
This question belongs to: Maths Time Speed and Distance
Question #347
A train running at 54 km/h crosses a bridge 150 meters long in 18 seconds. Find the length of the train.
A. 150 meters
B. 120 meters
C. 140 meters
D. 100 meters
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Correct Answer: Option B

Explanation:
Speed = 54 * (5/18) = 15 m/s. Total distance in 18 seconds = 15 * 18 = 270 meters. Length of train = 270 - 150 = 120 meters.
This question belongs to: Maths Time Speed and Distance
Question #348
If a person covers a distance of 120 km in 3 hours, find his speed in meters per second.
A. 11.11 m/s
B. 12.50 m/s
C. 13.33 m/s
D. 10.5 m/s
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Correct Answer: Option A

Explanation:
Speed = 120 / 3 = 40 km/h. Converting to m/s = 40 * (5/18) = 200 / 18 = 11.11 m/s.
This question belongs to: Maths Time Speed and Distance
Question #349
A car traveling at a uniform speed covers 240 km. If the speed had been 10 km/h more, it would have taken 1 hour less. Find the initial speed.
A. 35 km/h
B. 40 km/h
C. 45 km/h
D. 50 km/h
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Correct Answer: Option B

Explanation:
Let original speed be s. 240 / s - 240 / (s + 10) = 1 => 240(10) = s(s + 10) => 2400 = s(s + 10). Solving s^2 + 10s - 2400 = 0 gives (s - 40)(s + 50) = 0. Since speed is positive, s = 40 km/h.
This question belongs to: Maths Time Speed and Distance
Question #350
A train 100 meters long completely passes a static pole in 5 seconds. Find its speed in km/h.
A. 72 km/h
B. 80 km/h
C. 64 km/h
D. 84 km/h
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Correct Answer: Option A

Explanation:
Speed = 100 / 5 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #351
A boat covers 30 km downstream in 3 hours and the same distance upstream in 6 hours. Find the speed of the stream.
A. 2.0 km/h
B. 2.5 km/h
C. 3.0 km/h
D. 3.5 km/h
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Correct Answer: Option B

Explanation:
Downstream speed = 30 / 3 = 10 km/h. Upstream speed = 30 / 6 = 5 km/h. Speed of stream = (10 - 5) / 2 = 5 / 2 = 2.5 km/h.
This question belongs to: Maths Time Speed and Distance
Question #352
A car covers a certain distance at an average speed of 60 km/h in 4 hours. At what speed must it travel to cover the same distance in 3 hours?
A. 85 km/h
B. 80 km/h
C. 90 km/h
D. 75 km/h
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Correct Answer: Option B

Explanation:
Distance = 60 * 4 = 240 km. New required speed = 240 / 3 = 80 km/h.
This question belongs to: Maths Time Speed and Distance
Question #353
Two trains 120 meters and 130 meters long are running in opposite directions at speeds of 45 km/h and 45 km/h respectively. In what time will they cross each other?
A. 11 seconds
B. 12 seconds
C. 10 seconds
D. 9 seconds
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Correct Answer: Option C

Explanation:
Total distance = 120 + 130 = 250 meters. Relative speed in opposite directions = 45 + 45 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.
This question belongs to: Maths Time Speed and Distance
Question #354
A man covers 1/4 of his total journey at 20 km/h and the remaining 3/4 at 40 km/h. Find his average speed for the entire journey.
A. 34.2 km/h
B. 30.5 km/h
C. 32.0 km/h
D. 36.0 km/h
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Correct Answer: Option C

Explanation:
Let total distance be 80 km. First part = 20 km; Time = 20 / 20 = 1 hour. Remaining part = 60 km; Time = 60 / 40 = 1.5 hours. Total distance = 80 km, Total time = 2.5 hours. Average speed = 80 / 2.5 = 32 km/h.
This question belongs to: Maths Time Speed and Distance
Question #355
A person walks from his home to his office at 3 km/h and reaches 15 minutes late. If he walks at 4 km/h, he reaches 5 minutes late. Find the distance.
A. 2.0 km
B. 1.8 km
C. 2.2 km
D. 2.5 km
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Correct Answer: Option A

Explanation:
Time difference = 15 - 5 = 10 minutes = 10/60 = 1/6 hour. Let distance be d. d / 3 - d / 4 = 1/6 => d / 12 = 1/6 => d = 2 km.
This question belongs to: Maths Time Speed and Distance
Question #356
A boat can row 16 km/h in still water and the speed of the current is 4 km/h. Find the time taken to row 60 km downstream.
A. 4.0 hours
B. 3.5 hours
C. 3.0 hours
D. 2.5 hours
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Correct Answer: Option C

Explanation:
Downstream speed = 16 + 4 = 20 km/h. Time taken = 60 / 20 = 3 hours.
This question belongs to: Maths Time Speed and Distance
Question #357
A train 200 meters long passes a static utility pole in 10 seconds. Find the time it takes to completely pass a platform of length 400 meters.
A. 35 seconds
B. 26 seconds
C. 30 seconds
D. 32 seconds
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Correct Answer: Option C

Explanation:
Speed of train = 200 / 10 = 20 m/s. Total distance to pass platform = 200 + 400 = 600 meters. Time taken = 600 / 20 = 30 seconds.
This question belongs to: Maths Time Speed and Distance
Question #358
In a 400-meter race, A finishes in 44 seconds and B finishes in 50 seconds. By what distance does A beat B?
A. 50 meters
B. 48 meters
C. 45 meters
D. 52 meters
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Correct Answer: Option B

Explanation:
Speed of B = 400 / 50 = 8 m/s. Distance covered by B when A crosses the finish line at 44 seconds = 8 * 44 = 352 meters. Winning margin = 400 - 352 = 48 meters.
This question belongs to: Maths Time Speed and Distance
Question #359
A car travels a distance of 300 km at a certain speed. If the speed is increased by 15 km/h, it takes 4 hours for the journey. Find the original speed.
A. 55 km/h
B. 70 km/h
C. 60 km/h
D. 65 km/h
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Correct Answer: Option C

Explanation:
New speed = 300 / 4 = 75 km/h. Since new speed is original speed + 15 km/h, the original speed = 75 - 15 = 60 km/h.
This question belongs to: Maths Time Speed and Distance
Question #360
Excluding stoppages, the speed of a bus is 50 km/h and including stoppages it is 40 km/h. For how many minutes does the bus stop per hour?
A. 12 minutes
B. 15 minutes
C. 10 minutes
D. 14 minutes
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Correct Answer: Option A

Explanation:
Stoppage time per hour = (50 - 40) / 50 = 10 / 50 = 1/5 hour. In minutes = (1/5) * 60 = 12 minutes.
This question belongs to: Maths Time Speed and Distance

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