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 #641
A train 180 meters long is tracking at a uniform speed of 72 km/h. How many seconds will it take to clear a stationary passenger standing on a platform?
A. 9 seconds
B. 10 seconds
C. 8 seconds
D. 11 seconds
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Correct Answer: Option A

Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Time taken to clear the passenger = 180 / 20 = 9 seconds.
This question belongs to: Maths Time Speed and Distance
Question #642
A vehicle covers a lap distance of 450 km at a uniform speed. If its velocity is cut by 15 km/h, the trip maps 1.5 hours longer. Find the original speed.
A. 90 km/h
B. 80 km/h
C. 75 km/h
D. 60 km/h
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Correct Answer: Option C

Explanation:
Let original speed be s. 450/(s-15) - 450/s = 1.5 => 300/(s-15) - 300/s = 1 => 300(15) = s(s-15) => 4500 = s(s-15). Solving s^2 - 15s - 4500 = 0 gives (s-75)(s+60) = 0. Baseline speed = 75 km/h.
This question belongs to: Maths Time Speed and Distance
Question #643
A cyclist handles 600 meters in exactly 2 minutes. Find his moving velocity in km/h.
A. 15 km/h
B. 22 km/h
C. 20 km/h
D. 18 km/h
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Correct Answer: Option D

Explanation:
Time = 2 minutes = 120 seconds. Speed = 600 / 120 = 5 m/s. In km/h = 5 * (18/5) = 18 km/h.
This question belongs to: Maths Time Speed and Distance
Question #644
A train 110 meters long passes a platform 190 meters long in 20 seconds flat. Find the speed of the train in km/h.
A. 48 km/h
B. 60 km/h
C. 64 km/h
D. 54 km/h
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Correct Answer: Option D

Explanation:
Total distance = 110 + 190 = 300 meters. Speed = 300 / 20 = 15 m/s. In km/h = 15 * (18/5) = 54 km/h.
This question belongs to: Maths Time Speed and Distance
Question #645
Walking at 6/7 of his typical speed, a clerk reaches his documentation terminal 14 minutes late. What is his typical time?
A. 84 minutes
B. 96 minutes
C. 90 minutes
D. 78 minutes
Discuss
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Correct Answer: Option A

Explanation:
New speed = 6/7 of typical speed => New time = 7/6 of typical time. Difference = 1/6 of typical time = 14 minutes. Typical time = 14 * 6 = 84 minutes.
This question belongs to: Maths Time Speed and Distance
Question #646
A boat covers 36 km downstream in 3 hours and maps the identical stretch upstream in 6 hours. Find the speed of the river stream current.
A. 3.0 km/h
B. 3.5 km/h
C. 2.5 km/h
D. 4.0 km/h
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Correct Answer: Option A

Explanation:
Downstream speed = 36 / 3 = 12 km/h. Upstream speed = 36 / 6 = 6 km/h. Speed of stream current = (12 - 6) / 2 = 3 km/h.
This question belongs to: Maths Time Speed and Distance
Question #647
A vehicle covers a clear run path at an average speed of 50 km/h in 7 hours. At what speed must it travel to wrap up the same path in 5 hours?
A. 80 km/h
B. 65 km/h
C. 70 km/h
D. 75 km/h
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Correct Answer: Option C

Explanation:
Distance = 50 * 7 = 350 km. New required speed = 350 / 5 = 70 km/h.
This question belongs to: Maths Time Speed and Distance
Question #648
Two commuter trains 140 meters and 110 meters long are tracking in opposite directions at speeds of 40 km/h and 50 km/h respectively. In what time do they clear each other?
A. 8 seconds
B. 12 seconds
C. 10 seconds
D. 14 seconds
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Correct Answer: Option C

Explanation:
Total distance = 140 + 110 = 250 meters. Relative speed in opposite directions = 40 + 50 = 90 km/h = 25 m/s. Time taken = 250 / 25 = 10 seconds.
This question belongs to: Maths Time Speed and Distance
Question #649
A driver accounts 1/4 of his total delivery distance at 25 km/h and the remaining 3/4 at 75 km/h. Find his average speed for the full delivery route.
A. 60 km/h
B. 45 km/h
C. 50 km/h
D. 55 km/h
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Correct Answer: Option C

Explanation:
Let total distance be 100 km. First part = 25 km; Time = 24 / 25 = 1 hour. Remaining part = 75 km; Time = 75 / 75 = 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 #650
A person walks from his villa to a local station at 4 km/h and arrives 10 minutes late. If he routes at 5 km/h, he arrives 2 minutes early. Find the distance.
A. 3.5 km
B. 4.0 km
C. 4.5 km
D. 5.0 km
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Correct Answer: Option B

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 #651
A motorboat rows 16 km/h in still water and the speed of the river current is 4 km/h. Find the time taken to row 80 km downstream.
A. 5.0 hours
B. 4.5 hours
C. 3.5 hours
D. 4.0 hours
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Correct Answer: Option D

Explanation:
Downstream speed = 16 + 4 = 20 km/h. Time taken = 80 / 20 = 4 hours.
This question belongs to: Maths Time Speed and Distance
Question #652
A train 250 meters long passes a static track utility pole in 10 seconds flat. Find the time it takes to completely pass a platform of length 500 meters.
A. 26 seconds
B. 35 seconds
C. 32 seconds
D. 30 seconds
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Correct Answer: Option D

Explanation:
Speed of train = 250 / 10 = 25 m/s. Total distance to pass platform = 250 + 500 = 750 meters. Time taken = 750 / 25 = 30 seconds.
This question belongs to: Maths Time Speed and Distance
Question #653
In a 300-meter dash race, X completes the track in 33 seconds and Y completes it in 36 seconds. By what distance does X beat Y?
A. 25 meters
B. 30 meters
C. 28 meters
D. 22 meters
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Correct Answer: Option A

Explanation:
Speed of Y = 300 / 36 = 25/3 m/s. Distance covered by Y when X crosses the finish line at 33 seconds = (25/3) * 33 = 25 * 11 = 275 meters. Winning margin = 300 - 275 = 25 meters.
This question belongs to: Maths Time Speed and Distance
Question #654
A car tracks a total segment of 360 km. If the uniform speed is boosted by 15 km/h, it covers the course in 4 hours flat. Find the original speed.
A. 80 km/h
B. 75 km/h
C. 70 km/h
D. 85 km/h
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Correct Answer: Option B

Explanation:
New speed = 360 / 4 = 90 km/h. Since the new speed is 15 km/h faster than original speed, original speed = 90 - 15 = 75 km/h.
This question belongs to: Maths Time Speed and Distance
Question #655
Excluding regular route passenger stops, the speed of an express coach is 64 km/h and including stops it is 48 km/h. For how many minutes does the coach stop per hour?
A. 20 minutes
B. 18 minutes
C. 12 minutes
D. 15 minutes
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Correct Answer: Option D

Explanation:
Stoppage time per hour = (64 - 48) / 64 = 16 / 64 = 1/4 hour. In minutes = (1/4) * 60 = 15 minutes.
This question belongs to: Maths Time Speed and Distance
Question #656
A train 180 meters long running at 54 km/h passes a stationary point tracking observer. Find the time parameter required to cross.
A. 10 seconds
B. 16 seconds
C. 14 seconds
D. 12 seconds
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Correct Answer: Option D

Explanation:
Speed of train = 54 * (5/18) = 15 m/s. Time taken = 180 / 15 = 12 seconds.
This question belongs to: Maths Time Speed and Distance
Question #657
A suspect flees at 6:00 AM at a uniform speed of 50 km/h. The enforcement squad tracks pursuit at 7:00 AM at 60 km/h. At what time will the squad apprehend the suspect?
A. 12:00 PM
B. 2:00 PM
C. 1:00 PM
D. 11:00 AM
Discuss
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Correct Answer: Option A

Explanation:
By 7:00 AM, the suspect has traveled for 1 hour and covered 50 km. Relative tracking speed = 60 - 50 = 10 km/h. Time taken to catch = 50 / 10 = 5 hours. Apprehension time = 7:00 AM + 5 hours = 12:00 PM.
This question belongs to: Maths Time Speed and Distance
Question #658
The speed indices of two sprinters are in the ratio 3 : 4. If the first sprinter requires 24 seconds to wrap up a bend, how much time does the second sprinter require?
A. 18 seconds
B. 20 seconds
C. 16 seconds
D. 22 seconds
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Correct Answer: Option A

Explanation:
Ratio of speeds = 3:4, so ratio of times required = 4:3. Given 4 parts = 24 seconds => 1 part = 6 seconds. Time for the second sprinter = 3 parts = 3 * 6 = 18 seconds.
This question belongs to: Maths Time Speed and Distance
Question #659
A sound wave tracking along a canyon paths at 340 m/s. Find the total distance wrapped by the sound wave in exactly 25 seconds.
A. 9.0 km
B. 9.5 km
C. 8.5 km
D. 7.5 km
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Correct Answer: Option C

Explanation:
Distance covered = Speed * Time = 340 * 25 = 8500 meters = 8.5 km.
This question belongs to: Maths Time Speed and Distance
Question #660
A boat rowed downstream covers 40 km in 4 hours and manages 20 km upstream in 4 hours. Find the baseline speed of the boat in still water.
A. 7.0 km/h
B. 8.5 km/h
C. 8.0 km/h
D. 7.5 km/h
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Correct Answer: Option D

Explanation:
Downstream speed = 40 / 4 = 10 km/h. Upstream speed = 20 / 4 = 5 km/h. Speed in still water = (10 + 5) / 2 = 7.5 km/h.
This question belongs to: Maths Time Speed and Distance

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