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 #721
A delivery coach covers a highway stretch at 40 km/h. If the driver spikes the speed index to 60 km/h, the coach lands at the station terminal 15 minutes early. Find the track sector distance.
A. 30 km
B. 34 km
C. 36 km
D. 26 km
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Correct Answer: Option A

Explanation:
Time difference = 15 minutes = 15/60 = 1/4 hours. Let distance be d. d / 40 - d / 60 = 1/4 => (3d - 2d) / 120 = 1/4 => d / 120 = 1/4 => d = 30 km.
This question belongs to: Maths Time Speed and Distance
Question #722
A swimmer registers a pace track of 15 km downstream in 3 hours and handles 9 km upstream back in 3 hours. Find the net tracking speed of the current flow.
A. 1.5 km/h
B. 1.0 km/h
C. 1.2 km/h
D. 0.8 km/h
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Correct Answer: Option B

Explanation:
Downstream speed = 15 / 3 = 5 km/h. Upstream speed = 9 / 3 = 3 km/h. Speed of current flow = (5 - 3) / 2 = 2 / 2 = 1.0 km/h.
This question belongs to: Maths Time Speed and Distance
Question #723
A train 120 meters long crosses an electrical signal pole in 6 seconds. Find its speed in km/h.
A. 84 km/h
B. 80 km/h
C. 64 km/h
D. 72 km/h
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Correct Answer: Option D

Explanation:
Speed = 120 / 6 = 20 m/s. Converting to km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #724
A car covers a sector line of 420 km at a uniform speed. If its velocity index is raised by 10 km/h, it covers the course loop line in exactly 6 hours. Find the original speed.
A. 60 km/h
B. 70 km/h
C. 55 km/h
D. 65 km/h
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Correct Answer: Option A

Explanation:
New speed = 420 / 6 = 70 km/h. Since new speed is original speed + 10 km/h, the original tracking speed = 70 - 10 = 60 km/h.
This question belongs to: Maths Time Speed and Distance
Question #725
A runner tracks a circular field loop course of radius 70 meters. If his speed registers at 20 m/s, find the total loop rounds completed by him in 2 minutes 12 seconds.
A. 8 rounds
B. 6 rounds
C. 5 rounds
D. 7 rounds
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Correct Answer: Option B

Explanation:
Circumference = 2 * (22/7) * 70 = 440 meters. Time = 2 minutes 12 seconds = 132 seconds. Total distance wrapped = Speed * Time = 20 * 132 = 2640 meters. Number of loop rounds completed = 2640 / 440 = 6 rounds.
This question belongs to: Maths Time Speed and Distance
Question #726
A modern coach bus covers a distance of 280 km in 4 hours 40 minutes. Find its average speed.
A. 64 km/h
B. 56 km/h
C. 60 km/h
D. 68 km/h
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Correct Answer: Option C

Explanation:
Time = 4 hours 40 minutes = 4 + 40/60 = 4.666 hours = 14/3 hours. Speed = Distance / Time = 280 / (14/3) = 280 * 3 / 14 = 20 * 3 = 60 km/h.
This question belongs to: Maths Time Speed and Distance
Question #727
A person row a boat 12 km downstream in 1 hour. If the river current flows at 3 km/h, find the time taken by the boat to row the same distance upstream.
A. 2.0 hours
B. 3.0 hours
C. 1.5 hours
D. 2.5 hours
Discuss
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Correct Answer: Option A

Explanation:
Downstream speed = 12 / 1 = 12 km/h. Baseline boat speed in still water = Downstream speed - Current speed = 12 - 3 = 9 km/h. Upstream speed = Still water speed - Current speed = 9 - 3 = 6 km/h. Time taken upstream = Distance / Upstream speed = 12 / 6 = 2 hours.
This question belongs to: Maths Time Speed and Distance
Question #728
A commuter covers 40% of his total journey distance at 40 km/h and the remaining 60% at 60 km/h. Find his average speed for the whole journey.
A. 50 km/h
B. 52 km/h
C. 54 km/h
D. 48 km/h
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Correct Answer: Option A

Explanation:
Let total distance be 100 km. Time for first part = 40 / 40 = 1 hour. Time for second part = 60 / 60 = 1 hour. Total distance = 100 km, Total time = 2 hours. Average speed = 100 / 2 = 50 km/h.
This question belongs to: Maths Time Speed and Distance
Question #729
A train passes a standing person on a platform in 8 seconds and crosses the platform itself, which is 240 meters long, in 20 seconds. Find the length of the train.
A. 160 meters
B. 140 meters
C. 180 meters
D. 200 meters
Discuss
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Correct Answer: Option A

Explanation:
Time taken to cross the platform distance alone = 20 - 8 = 12 seconds. Speed of the train = 240 / 12 = 20 m/s. Length of the train = Speed * Time to pass the person = 20 * 8 = 160 meters.
This question belongs to: Maths Time Speed and Distance
Question #730
A sound wave maps along a linear distance path at 340 m/s. How many kilometers does it cover in exactly 25 seconds?
A. 8.0 km
B. 8.5 km
C. 9.5 km
D. 9.0 km
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Correct Answer: Option B

Explanation:
Distance = Speed * Time = 340 * 25 = 8500 meters. Converting to kilometers = 8500 / 1000 = 8.5 km.
This question belongs to: Maths Time Speed and Distance
Question #731
A car covered a distance of 400 km at a uniform speed. If the uniform speed index is lowered by 10 km/h, the journey takes 2 hours longer. Find the original speed.
A. 50 km/h
B. 55 km/h
C. 60 km/h
D. 45 km/h
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Correct Answer: Option A

Explanation:
Let original speed be s. 400 / (s - 10) - 400 / s = 2 => 200 / (s - 10) - 200 / s = 1 => 2000 = s(s - 10). Solving s^2 - 10s - 2000 = 0 yields (s - 50)(s + 40) = 0. Original speed = 50 km/h.
This question belongs to: Maths Time Speed and Distance
Question #732
A cyclist covers 1200 meters in 4 minutes flat. Find his speed index in km/h.
A. 20 km/h
B. 15 km/h
C. 18 km/h
D. 22 km/h
Discuss
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Correct Answer: Option C

Explanation:
Time = 4 minutes = 240 seconds. Speed = 1200 / 240 = 5 m/s. Converting to km/h = 5 * (18/5) = 18 km/h.
This question belongs to: Maths Time Speed and Distance
Question #733
Excluding stoppages, the speed of an express route train is 90 km/h and including stoppages it is 72 km/h. How many minutes does the train stop per hour?
A. 10 minutes
B. 15 minutes
C. 12 minutes
D. 14 minutes
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Correct Answer: Option C

Explanation:
Stoppage time per hour = (90 - 72) / 90 = 18 / 90 = 1/5 hour. In minutes = (1/5) * 60 = 12 minutes.
This question belongs to: Maths Time Speed and Distance
Question #734
A car covers a specific distance path at an average speed of 40 km/h and returns along the same course layout at 60 km/h. Find the average speed for the round journey.
A. 50 km/h
B. 52 km/h
C. 46 km/h
D. 48 km/h
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Correct Answer: Option D

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 #735
A boat can row 15 km/h in still water. If the velocity index of the stream tracks at 3 km/h, find the time parameter taken by the boat to row 36 km upstream.
A. 4.0 hours
B. 2.5 hours
C. 3.5 hours
D. 3.0 hours
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Correct Answer: Option D

Explanation:
Upstream speed = 15 - 3 = 12 km/h. Time taken = Distance / Upstream speed = 36 / 12 = 3 hours.
This question belongs to: Maths Time Speed and Distance
Question #736
A train 150 meters long completely passes a station pole sign in 6 seconds flat. Find its speed in km/h.
A. 80 km/h
B. 90 km/h
C. 100 km/h
D. 110 km/h
Discuss
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Correct Answer: Option B

Explanation:
Speed of train = 150 / 6 = 25 m/s. Converting to km/h = 25 * (18/5) = 90 km/h.
This question belongs to: Maths Time Speed and Distance
Question #737
A mechanic wheel tracks 3000 revolutions to bridge a course distance of 2640 meters. Find the radius size of the wheel.
A. 16 cm
B. 18 cm
C. 12 cm
D. 14 cm
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Correct Answer: Option D

Explanation:
Distance wrapped in 1 turn revolution = 2640 / 3000 = 0.88 meters = 88 cm. Circumference = 2 * (22/7) * r = 88 cm => (44/7) * r = 88 => r = 14 cm.
This question belongs to: Maths Time Speed and Distance
Question #738
Walking at 4/5 of his normal pace, an official is 12 minutes late to his assignment station. Find his usual baseline time.
A. 44 minutes
B. 52 minutes
C. 48 minutes
D. 56 minutes
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Correct Answer: Option C

Explanation:
New speed = 4/5 of usual speed => New time = 5/4 of usual time. Difference = 1/4 of usual time = 12 minutes. Usual time = 12 * 4 = 48 minutes.
This question belongs to: Maths Time Speed and Distance
Question #739
A boat crew rows 32 km downstream in 2 hours and handles 16 km upstream in 2 hours flat. Find the speed index of the stream current flow.
A. 4.0 km/h
B. 4.5 km/h
C. 3.5 km/h
D. 5.0 km/h
Discuss
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Correct Answer: Option A

Explanation:
Downstream speed = 32 / 2 = 16 km/h. Upstream speed = 16 / 2 = 8 km/h. Speed of current stream flow = (16 - 8) / 2 = 8 / 2 = 4 km/h.
This question belongs to: Maths Time Speed and Distance
Question #740
A commercial truck handles a sector distance path of 480 km in 8 hours. How much time will it require to cover a path length of 300 km if it moves at the same speed?
A. 5.5 hours
B. 5.0 hours
C. 4.5 hours
D. 6.0 hours
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Correct Answer: Option B

Explanation:
Speed of truck = 480 / 8 = 60 km/h. Time required for 300 km path = 300 / 60 = 5 hours.
This question belongs to: Maths Time Speed and Distance

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