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 #681
A pedestrian walks at a constant pace of 5 km/h. How many meters can he cover in exactly 18 minutes?
A. 1500 meters
B. 1800 meters
C. 1600 meters
D. 1400 meters
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Correct Answer: Option A

Explanation:
Speed = 5 km/h = 5000 meters / 60 minutes = 83.33 meters per minute. Distance in 18 minutes = 83.33 * 18 = 1500 meters.
This question belongs to: Maths Time Speed and Distance
Question #682
A passenger express train 160 meters long runs at 72 km/h. How long will it take to clear a terminal platform 240 meters long?
A. 24 seconds
B. 20 seconds
C. 18 seconds
D. 22 seconds
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Correct Answer: Option B

Explanation:
Speed of train = 72 * (5/18) = 20 m/s. Total distance = 160 + 240 = 400 meters. Time taken = 400 / 20 = 20 seconds.
This question belongs to: Maths Time Speed and Distance
Question #683
A boat logs 18 km downstream in 1.5 hours and manages the return tract upstream in 4.5 hours. Find the net speed of the river current stream.
A. 4.0 km/h
B. 3.5 km/h
C. 5.0 km/h
D. 4.5 km/h
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Correct Answer: Option A

Explanation:
Downstream speed = 18 / 1.5 = 12 km/h. Upstream speed = 18 / 4.5 = 4 km/h. Speed of current stream = (12 - 4) / 2 = 8 / 2 = 4 km/h.
This question belongs to: Maths Time Speed and Distance
Question #684
Two delivery vans start from a junction hub and track along perpendicular cross lanes. One runs at 24 km/h and the other at 32 km/h. Find the separation distance between them after 1 hour.
A. 38 km
B. 45 km
C. 40 km
D. 42 km
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Correct Answer: Option C

Explanation:
In 1 hour, the first van covers 24 km and the second covers 32 km. Direct line separation distance = sqrt(24^2 + 32^2) = sqrt(576 + 1024) = sqrt(1600) = 40 km.
This question belongs to: Maths Time Speed and Distance
Question #685
A sound wave maps along a valley channel at 330 m/s. How many seconds are required to span a distance length of 9.9 km?
A. 30 seconds
B. 26 seconds
C. 32 seconds
D. 35 seconds
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Correct Answer: Option A

Explanation:
Distance = 9.9 km = 9900 meters. Time taken = 9900 / 330 = 30 seconds.
This question belongs to: Maths Time Speed and Distance
Question #686
A student walks from his quarter block to the academy center at 4 km/h and arrives 8 minutes late. If he manages a pace of 5 km/h, he arrives 4 minutes early. Find the track distance.
A. 3.5 km
B. 4.0 km
C. 5.0 km
D. 4.5 km
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Correct Answer: Option B

Explanation:
Time difference = 8 - (-4) = 12 minutes = 10/60 = 1/5 hours. Let distance be d. d/4 - d/5 = 1/5 => d/20 = 1/5 => d = 4 km.
This question belongs to: Maths Time Speed and Distance
Question #687
A locomotive train 140 meters long passes a track milestone pole in 7 seconds flat. What is its speed in km/h?
A. 72 km/h
B. 80 km/h
C. 76 km/h
D. 68 km/h
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Correct Answer: Option A

Explanation:
Speed of train = 140 / 7 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #688
A cart wheel turns 1000 revolutions to bridge a sector distance of 1320 meters. Find the diameter size of the turning wheel.
A. 38 cm
B. 42 cm
C. 50 cm
D. 46 cm
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Correct Answer: Option B

Explanation:
Distance covered in 1 single turn revolution = 1320 / 1000 = 1.32 meters = 132 cm. Circumference = 2 * (22/7) * r = 132 cm => Diameter (2r) * (22/7) = 132 => Diameter = 132 * 7 / 22 = 6 * 7 = 42 cm.
This question belongs to: Maths Time Speed and Distance
Question #689
Excluding minor platform corridor stops, the speed of an express route train is 84 km/h, and including stops it tracks at 70 km/h. How many minutes does it spend resting at stops per hour?
A. 10 minutes
B. 8 minutes
C. 15 minutes
D. 12 minutes
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Correct Answer: Option A

Explanation:
Stoppage time per hour = (84 - 70) / 84 = 14 / 84 = 1/6 hour. In minutes = (1/6) * 60 = 10 minutes.
This question belongs to: Maths Time Speed and Distance
Question #690
A boat can row 11 km/h in still water and the velocity index of the current stream is 3 km/h. Find the time span taken to row 32 km upstream.
A. 5.0 hours
B. 3.5 hours
C. 4.0 hours
D. 4.5 hours
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Correct Answer: Option C

Explanation:
Upstream speed = 11 - 3 = 8 km/h. Time taken = 32 / 8 = 4 hours.
This question belongs to: Maths Time Speed and Distance
Question #691
A sedan covers a distance path of 480 km at a uniform tracking speed. If the speed index is lowered by 10 km/h, the trip records 2 hours longer. Find the original baseline speed.
A. 55 km/h
B. 45 km/h
C. 60 km/h
D. 50 km/h
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Correct Answer: Option D

Explanation:
Let original speed be s. 480 / (s - 10) - 480 / s = 2 => 240 / (s - 10) - 240 / s = 1 => 2400 = s(s - 10). Solving s^2 - 10s - 2400 = 0 gives (s - 50)(s + 40) = 0. Baseline speed = 50 km/h.
This question belongs to: Maths Time Speed and Distance
Question #692
A sprinter tracks a 400-meter oval dash stretch in 44 seconds. Find his approximate pace in km/h.
A. 34.2 km/h
B. 32.7 km/h
C. 30.5 km/h
D. 36.0 km/h
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Correct Answer: Option B

Explanation:
Speed = 400 / 44 m/s = 100 / 11 m/s. In km/h = (100 / 11) * (18/5) = 360 / 11 = 32.72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #693
A train 120 meters long passing a warehouse platform 280 meters long takes exactly 20 seconds. Find the velocity index of the train in km/h.
A. 80 km/h
B. 72 km/h
C. 84 km/h
D. 64 km/h
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Correct Answer: Option B

Explanation:
Total distance = 120 + 280 = 400 meters. Speed = 400 / 20 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #694
Walking at 3/5 of his typical pace, a technician reaches his field assignment 16 minutes late. Find his typical baseline time.
A. 22 minutes
B. 24 minutes
C. 26 minutes
D. 28 minutes
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Correct Answer: Option B

Explanation:
New speed = 3/5 of normal speed => New time = 5/3 of normal time. Difference = 2/3 of normal time = 16 minutes. Normal baseline time = (16 * 3) / 2 = 24 minutes.
This question belongs to: Maths Time Speed and Distance
Question #695
A swimmer logs 36 km downstream in 3 hours and tracks the identical course line upstream in 9 hours. Find the net velocity of the stream.
A. 5.0 km/h
B. 3.5 km/h
C. 4.0 km/h
D. 4.5 km/h
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Correct Answer: Option C

Explanation:
Downstream speed = 36 / 3 = 12 km/h. Upstream speed = 36 / 9 = 4 km/h. Speed of stream current = (12 - 4) / 2 = 8 / 2 = 4 km/h.
This question belongs to: Maths Time Speed and Distance
Question #696
A transport truck covers a route track of 480 km in 8 hours. How much time will it require to clear a distance path of 360 km given it tracks at the same speed?
A. 5.5 hours
B. 7.0 hours
C. 6.5 hours
D. 6.0 hours
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Correct Answer: Option D

Explanation:
Speed of truck = 480 / 8 = 60 km/h. Time taken for 360 km path = 360 / 60 = 6 hours.
This question belongs to: Maths Time Speed and Distance
Question #697
Two passenger trains of equal layout lengths cross a station pole in 15 seconds and 30 seconds respectively. If each train length measures 150 meters, find the time parameter required to pass each other completely when tracking in opposite directions.
A. 22 seconds
B. 20 seconds
C. 24 seconds
D. 18 seconds
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Correct Answer: Option B

Explanation:
Speed of first train = 150 / 15 = 10 m/s. Speed of second train = 150 / 30 = 5 m/s. Total passing distance = 150 + 150 = 300 meters. Relative speed in opposite directions = 10 + 5 = 15 m/s. Time required = 300 / 15 = 20 seconds.
This question belongs to: Maths Time Speed and Distance
Question #698
A commercial van covers 1/3 of a route sector distance at 20 km/h, 1/3 at 40 km/h and the final 1/3 segment at 40 km/h. Find the mean average speed.
A. 28 km/h
B. 32 km/h
C. 34 km/h
D. 30 km/h
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Correct Answer: Option D

Explanation:
Let each third segment distance be 40 km. Total sector distance = 120 km. Total time = 40/20 + 40/40 + 40/40 = 2 + 1 + 1 = 4 hours. Average speed across route = 120 / 4 = 30 km/h.
This question belongs to: Maths Time Speed and Distance
Question #699
A commuter departs from outpost A at 5:00 AM at 25 km/h. Another starts from A at 7:00 AM at 35 km/h tracking along the same direction corridor. At what distance away from A will they intercept?
A. 175 km
B. 165 km
C. 195 km
D. 185 km
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Correct Answer: Option A

Explanation:
By 7:00 AM, the first commuter tracks for 2 hours, covering 25 * 2 = 50 km. Relative speed index = 35 - 25 = 10 km/h. Time to intercept = 50 / 10 = 5 hours. Distance path from point A = Speed of second commuter * Intercept Time = 35 * 5 = 175 km.
This question belongs to: Maths Time Speed and Distance
Question #700
A passenger locomotive 150 meters long clears a pedestrian tracking on the lines in 10 seconds flat when both proceed along the same direction. If the pedestrian walks at 4 km/h, find the train speed.
A. 62 km/h
B. 58 km/h
C. 54 km/h
D. 66 km/h
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Correct Answer: Option B

Explanation:
Relative tracking speed = 150 / 10 = 15 m/s = 15 * (18/5) = 54 km/h. In the identical direction, Relative Speed = Speed of train - Speed of pedestrian => 54 = Speed of train - 4 => Speed of train = 58 km/h.
This question belongs to: Maths Time Speed and Distance

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