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 #501
A fast cargo van handles 360 km at 45 km/h and another 240 km at 60 km/h. Find the overall average speed.
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 = 360 + 240 = 600 km. Time for first part = 360 / 45 = 8 hours. Time for second part = 240 / 60 = 4 hours. Total time = 8 + 4 = 12 hours. Average speed = 600 / 12 = 50 km/h.
This question belongs to: Maths Time Speed and Distance
Question #502
A motorcycle travels from terminal A to B at 40 km/h and returns at 60 km/h. What is the average speed for the round journey?
A. 48 km/h
B. 46 km/h
C. 50 km/h
D. 52 km/h
Discuss
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Correct Answer: Option A

Explanation:
Average Speed = 2xy / (x + y) = (2 * 40 * 60) / (40 + 60) = 4800 / 100 = 48 km/h.
This question belongs to: Maths Time Speed and Distance
Question #503
A regular passenger bus tracks a route divided into three equal segments. It runs the segments at 20 km/h, 30 km/h, and 60 km/h respectively. Find the average speed across the whole route.
A. 40 km/h
B. 35 km/h
C. 30 km/h
D. 25 km/h
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Correct Answer: Option C

Explanation:
Let each segment distance be 60 km. Total distance = 3 * 60 = 180 km. Total time = 60/20 + 60/30 + 60/60 = 3 + 2 + 1 = 6 hours. Average speed = 180 / 6 = 30 km/h.
This question belongs to: Maths Time Speed and Distance
Question #504
An athlete loops a circular running stadium of radius 70 meters in exactly 44 seconds. Find the average moving speed.
A. 12 m/s
B. 14 m/s
C. 10 m/s
D. 8 m/s
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Correct Answer: Option C

Explanation:
Circumference = 2 * (22/7) * 70 = 440 meters. Speed = Distance / Time = 440 / 44 = 10 m/s.
This question belongs to: Maths Time Speed and Distance
Question #505
A cargo truck covers the first 4 hours of its route at 60 km/h and the remaining 3 hours at 70 km/h. Find the net average speed.
A. 65.50 km/h
B. 63.25 km/h
C. 66.00 km/h
D. 64.28 km/h
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Correct Answer: Option D

Explanation:
Distance 1 = 60 * 4 = 240 km. Distance 2 = 70 * 3 = 210 km. Total distance = 240 + 210 = 450 km. Total time = 4 + 3 = 7 hours. Average speed = 450 / 7 = 64.28 km/h.
This question belongs to: Maths Time Speed and Distance
Question #506
A vehicle runs at an average speed of 54 km/h. It wraps the first half of the trip duration in 2 hours and the second half duration at 66 km/h. Find the time spent on the second half duration.
A. 1.5 hours
B. 3 hours
C. 2.5 hours
D. 2 hours
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Correct Answer: Option D

Explanation:
Since it specifies 'half of the trip duration', the time for both halves is identical. Time spent on the second half is equal to the first half, which is 2 hours.
This question belongs to: Maths Time Speed and Distance
Question #507
A commuter drives to his consulting firm at 30 km/h and arrives 15 minutes late. If he increases his speed to 40 km/h, he arrives 5 minutes early. Find the distance to his firm.
A. 50 km
B. 40 km
C. 35 km
D. 45 km
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Correct Answer: Option B

Explanation:
Time difference = 15 - (-5) = 20 minutes = 20/60 = 1/3 hours. Let distance be d. d/30 - d/40 = 1/3 => (4d - 3d)/120 = 1/3 => d/120 = 1/3 => d = 40 km.
This question belongs to: Maths Time Speed and Distance
Question #508
A train passes a standing track worker in 12 seconds and crosses a platform 200 meters long in 22 seconds. Find the length of the train.
A. 300 meters
B. 240 meters
C. 200 meters
D. 250 meters
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Correct Answer: Option B

Explanation:
Time taken to cross platform alone = 22 - 12 = 10 seconds. Speed of train = 200 / 10 = 20 m/s. Length of train = Speed * Time to cross worker = 20 * 12 = 240 meters.
This question belongs to: Maths Time Speed and Distance
Question #509
A train 150 meters long is tracking at a speed of 72 km/h. How long will it take to pass a bridge 250 meters long?
A. 24 seconds
B. 20 seconds
C. 18 seconds
D. 22 seconds
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Correct Answer: Option B

Explanation:
Total distance = 150 + 250 = 400 meters. Speed = 72 * (5/18) = 20 m/s. Time taken = 400 / 20 = 20 seconds.
This question belongs to: Maths Time Speed and Distance
Question #510
A locomotive 180 meters long crosses a modern bridge in 30 seconds. If it takes 12 seconds to pass a single post light, find the length of the bridge.
A. 300 meters
B. 270 meters
C. 320 meters
D. 250 meters
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Correct Answer: Option B

Explanation:
Speed of train = 180 / 12 = 15 m/s. Total distance in 30 seconds = 15 * 30 = 450 meters. Length of bridge = 450 - 180 = 270 meters.
This question belongs to: Maths Time Speed and Distance
Question #511
Two trains 140 meters and 160 meters long are tracking on parallel routes in opposite directions at 40 km/h and 50 km/h respectively. How long do they take to clear each other?
A. 15 seconds
B. 12 seconds
C. 14 seconds
D. 10 seconds
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Correct Answer: Option B

Explanation:
Total distance = 140 + 160 = 300 meters. Relative speed = 40 + 50 = 90 km/h = 90 * (5/18) = 25 m/s. Time taken = 300 / 25 = 12 seconds.
This question belongs to: Maths Time Speed and Distance
Question #512
Two express trains 200 meters and 150 meters long are moving in the same direction at 72 km/h and 54 km/h respectively. Find the time taken by the faster train to cross the slower train completely.
A. 90 seconds
B. 70 seconds
C. 80 seconds
D. 60 seconds
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Correct Answer: Option B

Explanation:
Total distance = 200 + 150 = 350 meters. Relative speed in same direction = 72 - 54 = 18 km/h = 5 m/s. Time taken = 350 / 5 = 70 seconds.
This question belongs to: Maths Time Speed and Distance
Question #513
A boat can row 12 km/h in still water. If the river current flows at 3 km/h, find the time taken to row 45 km downstream.
A. 2.5 hours
B. 4 hours
C. 3.5 hours
D. 3 hours
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Correct Answer: Option D

Explanation:
Downstream speed = 12 + 3 = 15 km/h. Time taken = Distance / Downstream speed = 45 / 15 = 3 hours.
This question belongs to: Maths Time Speed and Distance
Question #514
A motorboat registers a speed of 15 km/h in still water. It takes 4 hours to cover a certain distance upstream. If the stream velocity is 3 km/h, find the distance covered.
A. 44 km
B. 48 km
C. 56 km
D. 52 km
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Correct Answer: Option B

Explanation:
Upstream speed = 15 - 3 = 12 km/h. Distance = Upstream speed * Time = 12 * 4 = 48 km.
This question belongs to: Maths Time Speed and Distance
Question #515
A crew row a boat 24 km upstream and 36 km downstream, taking 4 hours for each separate direction. Find the speed of the current stream.
A. 2 km/h
B. 1.25 km/h
C. 1.5 km/h
D. 1.75 km/h
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Correct Answer: Option C

Explanation:
Upstream speed = 24 / 4 = 6 km/h. Downstream speed = 36 / 4 = 9 km/h. Current speed = (Downstream speed - Upstream speed) / 2 = (9 - 6) / 2 = 1.5 km/h.
This question belongs to: Maths Time Speed and Distance
Question #516
A dog spots a rabbit 200 meters away. The rabbit speeds off at 24 km/h and the dog pursues at 30 km/h. How much distance will the rabbit run before it is caught?
A. 850 meters
B. 900 meters
C. 750 meters
D. 800 meters
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Correct Answer: Option D

Explanation:
Relative speed = 30 - 24 = 6 km/h = 6 * (5/18) = 5/3 m/s. Time to catch = 200 / (5/3) = 120 seconds. Distance run by rabbit = Speed * Time = [24 * (5/18)] * 120 = (20/3) * 120 = 800 meters.
This question belongs to: Maths Time Speed and Distance
Question #517
In a 1000-meter race, sprinter A beats sprinter B by 100 meters, and sprinter B beats sprinter C by 50 meters. By how many meters does X beat Z in the same race? (Assume consistent speeds)
A. 140 meters
B. 145 meters
C. 150 meters
D. 155 meters
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Correct Answer: Option B

Explanation:
When A covers 1000m, B covers 900m. When B covers 1000m, C covers 950m. When B covers 900m, C covers 950 * (900/1000) = 855m. Therefore, A beats C by 1000 - 855 = 145 meters.
This question belongs to: Maths Time Speed and Distance
Question #518
Excluding institutional stops, a transit bus routes at 60 km/h and including stops it runs at 50 km/h. How many minutes does the bus stop per hour?
A. 10 minutes
B. 12 minutes
C. 15 minutes
D. 8 minutes
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Correct Answer: Option A

Explanation:
Stoppage time per hour = (60 - 50) / 60 = 10 / 60 = 1/6 hour = 10 minutes.
This question belongs to: Maths Time Speed and Distance
Question #519
A car covers a total loop distance of 300 km. If the baseline speed is raised by 10 km/h, the trip takes 1 hour less. Find the original speed.
A. 60 km/h
B. 55 km/h
C. 50 km/h
D. 45 km/h
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Correct Answer: Option C

Explanation:
Let original speed be s. 300/s - 300/(s+10) = 1 => 3000 = s(s+10). Solving s^2 + 10s - 3000 = 0 yields (s-50)(s+60) = 0. Speed = 50 km/h.
This question belongs to: Maths Time Speed and Distance
Question #520
A cartwheel has a radius of 35 cm. How many revolutions must it make to cover a total distance of 1100 meters?
A. 500
B. 700
C. 400
D. 600
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Correct Answer: Option A

Explanation:
Circumference = 2 * (22/7) * 35 = 220 cm = 2.2 meters. Total distance = 1100 meters. Number of revolutions = 1100 / 2.2 = 500.
This question belongs to: Maths Time Speed and Distance

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