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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Page 14 of 39
Question #261
A train 120 meters long running at 54 km/h passes a standing pedestrian. Find the time taken to cross.
A. 7 seconds
B. 8 seconds
C. 10 seconds
D. 9 seconds
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Correct Answer: Option B

Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Time taken = 120 / 15 = 8 seconds.
This question belongs to: Maths Time Speed and Distance
Question #262
A thief escapes at 4:00 AM at 45 km/h. The police pursue him starting at 5:00 AM at 60 km/h. At what time will the thief be apprehended?
A. 8:00 AM
B. 9:00 AM
C. 7:30 AM
D. 8:30 AM
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Correct Answer: Option A

Explanation:
By 5:00 AM, the thief has traveled for 1 hour and covered 45 km. Relative speed = 60 - 45 = 15 km/h. Time taken to catch = 45 / 15 = 3 hours. Capture time = 5:00 AM + 3 hours = 8:00 AM.
This question belongs to: Maths Time Speed and Distance
Question #263
The speed of two runners are in the ratio 3 : 4. If the first runner takes 36 seconds to complete a loop, how much time does the second runner take?
A. 30 seconds
B. 27 seconds
C. 25 seconds
D. 32 seconds
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Correct Answer: Option B

Explanation:
Ratio of speeds = 3:4, so ratio of times taken = 4:3. Given 4 parts = 36 seconds => 1 part = 9 seconds. Time taken by the second runner = 3 parts = 3 * 9 = 27 seconds.
This question belongs to: Maths Time Speed and Distance
Question #264
A sound wave travels at a speed of 340 m/s. Find the distance covered by the wave in 0.5 minutes.
A. 11.4 km
B. 10.2 km
C. 9.8 km
D. 12.0 km
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Correct Answer: Option B

Explanation:
Time = 0.5 minutes = 30 seconds. Distance = Speed * Time = 340 * 30 = 10200 meters = 10.2 km.
This question belongs to: Maths Time Speed and Distance
Question #265
A boatman rows 30 km downstream and 18 km upstream, taking 3 hours for each leg of the journey. Find the speed of the boat in still water.
A. 7 km/h
B. 10 km/h
C. 9 km/h
D. 8 km/h
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Correct Answer: Option D

Explanation:
Downstream speed = 30 / 3 = 10 km/h. Upstream speed = 18 / 3 = 6 km/h. Speed in still water = (10 + 6) / 2 = 8 km/h.
This question belongs to: Maths Time Speed and Distance
Question #266
A car covers a distance of 120 km at 40 km/h and another 180 km at 60 km/h. Find the average speed for the complete trip.
A. 50 km/h
B. 48 km/h
C. 54 km/h
D. 52 km/h
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Correct Answer: Option A

Explanation:
Total distance = 120 + 180 = 300 km. Time 1 = 120 / 40 = 3 hours. Time 2 = 180 / 60 = 3 hours. Total time = 6 hours. Average speed = 300 / 6 = 50 km/h.
This question belongs to: Maths Time Speed and Distance
Question #267
A train passes a 110-meter long bridge in 12 seconds and a standard sign post in 7 seconds. Find the length of the train.
A. 140 meters
B. 175 meters
C. 160 meters
D. 154 meters
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Correct Answer: Option D

Explanation:
Time taken to cross the bridge alone = 12 - 7 = 5 seconds. Speed of train = 110 / 5 = 22 m/s. Length of train = Speed * Time to cross sign post = 22 * 7 = 154 meters.
This question belongs to: Maths Time Speed and Distance
Question #268
Walking at 6/7 of his normal pace, a man is 12 minutes late to his workplace. What is his normal time?
A. 72 minutes
B. 80 minutes
C. 90 minutes
D. 64 minutes
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Correct Answer: Option A

Explanation:
New speed = 6/7 of normal pace => New time = 7/6 of normal time. Difference = 1/6 of normal time = 12 minutes. Normal time = 12 * 6 = 72 minutes.
This question belongs to: Maths Time Speed and Distance
Question #269
A person row a boat 24 km upstream in 4 hours. If the speed of the current is 2 km/h, find the speed of the boat in still water.
A. 12 km/h
B. 8 km/h
C. 6 km/h
D. 10 km/h
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Correct Answer: Option B

Explanation:
Upstream speed = 24 / 4 = 6 km/h. Upstream Speed = Speed in still water - Current speed => 6 = Speed in still water - 2 => Speed in still water = 8 km/h.
This question belongs to: Maths Time Speed and Distance
Question #270
A car covers three successive 5 km stretches at speeds of 10 km/h, 20 km/h and 30 km/h respectively. Find its average speed.
A. 16.36 km/h
B. 20.00 km/h
C. 18.00 km/h
D. 15.42 km/h
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Correct Answer: Option A

Explanation:
Total distance = 3 * 5 = 15 km. Total time taken = 5/10 + 5/20 + 5/30 = 1/2 + 1/4 + 1/6 = (6 + 3 + 2) / 12 = 11/12 hours. Average speed = 15 / (11/12) = 180 / 11 = 16.36 km/h.
This question belongs to: Maths Time Speed and Distance
Question #271
A train 140 meters long is traveling at 72 km/h. How long will it take to cross a platform 220 meters long?
A. 22 seconds
B. 20 seconds
C. 16 seconds
D. 18 seconds
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Correct Answer: Option D

Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Total distance = 140 + 220 = 360 meters. Time taken = 360 / 20 = 18 seconds.
This question belongs to: Maths Time Speed and Distance
Question #272
A man walks from his residence to a focal point at 4 km/h and arrives 10 minutes late. If he increases his speed to 5 km/h, he arrives 2 minutes early. Find the distance.
A. 3.5 km
B. 5.0 km
C. 4.5 km
D. 4.0 km
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Correct Answer: Option D

Explanation:
Time difference = 10 - (-2) = 12 minutes = 12/60 = 0.2 hours. Let distance be d. d / 4 - d / 5 = 0.2 => d / 20 = 0.2 => d = 4 km.
This question belongs to: Maths Time Speed and Distance
Question #273
A wheel has a radius of 42 cm. How many revolutions must it make to cover a distance of 132 meters?
A. 60 revolutions
B. 40 revolutions
C. 50 revolutions
D. 70 revolutions
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Correct Answer: Option C

Explanation:
Circumference of the wheel = 2 * (22/7) * 42 = 264 cm = 2.64 meters. Total distance = 132 meters. Number of revolutions = 132 / 2.64 = 50 revolutions.
This question belongs to: Maths Time Speed and Distance
Question #274
A boat moves upstream at 8 km/h and downstream at 14 km/h. Find the speed of the river current.
A. 3.5 km/h
B. 2.5 km/h
C. 4.0 km/h
D. 3.0 km/h
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Correct Answer: Option D

Explanation:
Speed of the river current = (Downstream speed - Upstream speed) / 2 = (14 - 8) / 2 = 6 / 2 = 3 km/h.
This question belongs to: Maths Time Speed and Distance
Question #275
A train running at 54 km/h passes an active signal pole in 12 seconds. Find the length of the train.
A. 220 meters
B. 180 meters
C. 200 meters
D. 160 meters
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Correct Answer: Option B

Explanation:
Speed = 54 * (5/18) = 15 m/s. Length of train = Speed * Time = 15 * 12 = 180 meters.
This question belongs to: Maths Time Speed and Distance
Question #276
A car covers a distance of 180 km at a uniform speed. If the speed is increased by 10 km/h, the journey takes 3 hours. Find the initial speed of the car.
A. 60 km/h
B. 55 km/h
C. 45 km/h
D. 50 km/h
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Correct Answer: Option D

Explanation:
New speed = 180 / 3 = 60 km/h. Since the new speed is 10 km/h faster than the original speed, original speed = 60 - 10 = 50 km/h.
This question belongs to: Maths Time Speed and Distance
Question #277
In a 100-meter race, A can beat B by 10 meters and C by 19 meters. In a race of 90 meters, by how many meters can B beat C?
A. 8 meters
B. 10 meters
C. 9 meters
D. 11 meters
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Correct Answer: Option C

Explanation:
When A covers 100m, B covers 90m and C covers 81m. This means in a distance where B covers 90 meters, C covers 81 meters. Therefore, B beats C by 90 - 81 = 9 meters.
This question belongs to: Maths Time Speed and Distance
Question #278
Excluding stoppages, the speed of an inter-city bus is 45 km/h and including stoppages it is 36 km/h. How many minutes does the bus stop per hour?
A. 12 minutes
B. 18 minutes
C. 15 minutes
D. 10 minutes
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Correct Answer: Option A

Explanation:
Stoppage time per hour = (45 - 36) / 45 = 9 / 45 = 1/5 hour. In minutes = (1/5) * 60 = 12 minutes.
This question belongs to: Maths Time Speed and Distance
Question #279
A person travels a distance of 200 km at an average speed of 50 km/h and returns at a speed of 40 km/h. Find the average speed for the round trip.
A. 42.5 km/h
B. 46.25 km/h
C. 45.00 km/h
D. 44.44 km/h
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Correct Answer: Option D

Explanation:
Average Speed = 2xy / (x + y) = (2 * 50 * 40) / (50 + 40) = 4000 / 90 = 44.44 km/h.
This question belongs to: Maths Time Speed and Distance
Question #280
A train 100 meters long passes a static observer in 5 seconds. How long will it take to pass a platform 260 meters long?
A. 20 seconds
B. 18 seconds
C. 22 seconds
D. 16 seconds
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Correct Answer: Option B

Explanation:
Speed of train = 100 / 5 = 20 m/s. Total distance to pass platform = 100 + 260 = 360 meters. Time taken = 360 / 20 = 18 seconds.
This question belongs to: Maths Time Speed and Distance

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