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 #401
A vehicle covers a total distance of 280 km. It finishes the first 120 km at 40 km/h and the remaining 160 km at 80 km/h. Find its average speed.
A. 60 km/h
B. 64 km/h
C. 56 km/h
D. 52 km/h
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Correct Answer: Option C

Explanation:
Time for first section = 120 / 40 = 3 hours. Time for second section = 160 / 80 = 2 hours. Total distance = 280 km, Total time = 5 hours. Average speed = 280 / 5 = 56 km/h.
This question belongs to: Maths Time Speed and Distance
Question #402
A train 160 meters long passes a platform of length 340 meters in 25 seconds. Find the absolute speed of the train in km/h.
A. 72 km/h
B. 68 km/h
C. 80 km/h
D. 76 km/h
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Correct Answer: Option A

Explanation:
Total distance = 160 + 340 = 500 meters. Speed = 500 / 25 = 20 m/s. In km/h = 20 * (18/5) = 72 km/h.
This question belongs to: Maths Time Speed and Distance
Question #403
A civilian covers a 2400-meter long walkway in exactly 8 minutes. Find his moving speed in km/h.
A. 15 km/h
B. 20 km/h
C. 18 km/h
D. 22 km/h
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Correct Answer: Option C

Explanation:
Time = 8 minutes = 480 seconds. Speed = 2400 / 480 = 5 m/s. Converting to km/h = 5 * (18/5) = 18 km/h.
This question belongs to: Maths Time Speed and Distance
Question #404
A swimmer can traverse 36 km downstream in 3 hours and covers 12 km upstream in 3 hours. Find the swimmer's baseline speed in still water.
A. 9 km/h
B. 7 km/h
C. 10 km/h
D. 8 km/h
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Correct Answer: Option D

Explanation:
Downstream speed = 36 / 3 = 12 km/h. Upstream speed = 12 / 3 = 4 km/h. Speed in still water = (12 + 4) / 2 = 16 / 2 = 8 km/h.
This question belongs to: Maths Time Speed and Distance
Question #405
A bicycle wheel of diameter 140 cm makes 300 revolutions in one minute. Find the speed of the bicycle in km/h.
A. 88.0 km/h
B. 79.2 km/h
C. 75.4 km/h
D. 82.6 km/h
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Correct Answer: Option B

Explanation:
Radius r = 70 cm = 0.7 meters. Circumference = 2 * (22/7) * 0.7 = 4.4 meters. Distance in 1 minute = 300 * 4.4 = 1320 meters. Distance in 1 hour = 1320 * 60 = 79200 meters = 79.2 km. Speed = 79.2 km/h.
This question belongs to: Maths Time Speed and Distance
Question #406
A commuter sets off from point M at 7 AM walking at 5 km/h. Another departs M at 9 AM in the same direction at 8 km/h. At what distance from M do they meet?
A. 26.66 km
B. 28 km
C. 30 km
D. 24 km
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Correct Answer: Option A

Explanation:
By 9 AM, the first commuter has walked for 2 hours, covering 5 * 2 = 10 km. Relative speed = 8 - 5 = 3 km/h. Time taken to meet = 10 / 3 hours. Distance from M = Speed of second commuter * Time = 8 * (10/3) = 80/3 = 26.66 km.
This question belongs to: Maths Time Speed and Distance
Question #407
Excluding regular stops, an express cargo van tracks at 84 km/h and including stops it tracks at 70 km/h. How many minutes does it stop per hour?
A. 15 minutes
B. 12 minutes
C. 10 minutes
D. 8 minutes
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Correct Answer: Option C

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 #408
A train 300 meters long requires exactly 25 seconds to pass a railway worker running at 6 km/h in the opposite direction. Find the speed of the train.
A. 37.2 km/h
B. 40.0 km/h
C. 43.2 km/h
D. 34.2 km/h
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Correct Answer: Option A

Explanation:
Relative speed = 300 / 25 = 12 m/s = 12 * (18/5) = 43.2 km/h. Since they move in opposite directions, Relative Speed = Speed of train + Speed of worker => 43.2 = Speed of train + 6 => Speed of train = 37.2 km/h.
This question belongs to: Maths Time Speed and Distance
Question #409
A professional athlete tracks a loop of radius 140 meters in 88 seconds. What is his speed in km/h?
A. 32 km/h
B. 40 km/h
C. 44 km/h
D. 36 km/h
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Correct Answer: Option D

Explanation:
Circumference of loop = 2 * (22/7) * 140 = 880 meters. Speed = 880 / 88 = 10 m/s. Converting to km/h = 10 * (18/5) = 36 km/h.
This question belongs to: Maths Time Speed and Distance
Question #410
A legal clerk walks from his residence to the courthouse at 5 km/h and arrives 15 minutes late. If he sets a pace of 7.5 km/h, he arrives 5 minutes early. Find the distance.
A. 5.5 km
B. 5.0 km
C. 4.5 km
D. 6.0 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/5 - d/7.5 = 1/3 => (1.5d - d) / 7.5 = 1/3 => 0.5d / 7.5 = 1/3 => d / 15 = 1/3 => d = 5 km.
This question belongs to: Maths Time Speed and Distance
Question #411
A fisherman rows 20 km downstream in 2 hours and 15 km upstream in 3 hours. Find the net speed of the boat in still water.
A. 8.0 km/h
B. 7.5 km/h
C. 8.5 km/h
D. 7.0 km/h
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Correct Answer: Option B

Explanation:
Downstream speed = 20 / 2 = 10 km/h. Upstream speed = 15 / 3 = 5 km/h. Speed in still water = (10 + 5) / 2 = 7.5 km/h.
This question belongs to: Maths Time Speed and Distance
Question #412
In a 200-meter sprint, X beats Y by 20 meters and Y beats Z by 10 meters. By how many meters does X beat Z in the same race?
A. 29 meters
B. 28 meters
C. 30 meters
D. 32 meters
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Correct Answer: Option A

Explanation:
When X covers 200m, Y covers 180m. When Y covers 200m, Z covers 190m. Thus, when Y covers 180m, Z covers 190 * (180 / 200) = 171m. Therefore, when X covers 200m, Z covers 171m. X beats Z by 200 - 171 = 29 meters.
This question belongs to: Maths Time Speed and Distance
Question #413
A local train spans a track sector in 40 minutes. If its speed is lowered by 6 km/h, it tracks the same sector in 45 minutes. Find the distance of this track sector.
A. 44 km
B. 36 km
C. 32 km
D. 40 km
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Correct Answer: Option B

Explanation:
Let original speed be s. s * (40/60) = (s - 6) * (45/60) => 40s = 45s - 270 => 5s = 270 => s = 54 km/h. Distance = 54 * (40/60) = 36 km.
This question belongs to: Maths Time Speed and Distance
Question #414
A train 140 meters long is running at 90 km/h. How long will it take to pass a platform of length 210 meters?
A. 16 seconds
B. 15 seconds
C. 12 seconds
D. 14 seconds
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Correct Answer: Option D

Explanation:
Speed of train = 90 * (5/18) = 25 m/s. Total distance = 140 + 210 = 350 meters. Time taken = 350 / 25 = 14 seconds.
This question belongs to: Maths Time Speed and Distance
Question #415
A person can row 8 km/h in still water. If the river current flows at 4 km/h, it takes him 4 hours to row to an outpost and back. Find the distance of the outpost.
A. 12 km
B. 16 km
C. 10 km
D. 14 km
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Correct Answer: Option A

Explanation:
Downstream speed = 8 + 4 = 12 km/h. Upstream speed = 8 - 4 = 4 km/h. Let distance be d. d / 12 + d / 4 = 4 => 4d / 12 = 4 => d = 12 km.
This question belongs to: Maths Time Speed and Distance
Question #416
The speed of two cyclists are in the ratio 4 : 7. If they cover the same total distance, what is the ratio of the time taken by them?
A. 16 : 49
B. 49 : 16
C. 4 : 7
D. 7 : 4
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Correct Answer: Option D

Explanation:
Since time is inversely proportional to speed when distance is constant, the ratio of time taken is the reciprocal of the speed ratio: 1/4 : 1/7 = 7 : 4.
This question belongs to: Maths Time Speed and Distance
Question #417
A motorist covers a distance of 180 km at 45 km/h and returns at 60 km/h. Find the total time spent for the entire round trip.
A. 8 hours
B. 7 hours
C. 6 hours
D. 9 hours
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Correct Answer: Option B

Explanation:
Time for outward journey = 180 / 45 = 4 hours. Time for return journey = 180 / 60 = 3 hours. Total time = 4 + 3 = 7 hours.
This question belongs to: Maths Time Speed and Distance
Question #418
A train 120 meters long passes a track worker walking at 6 km/h in the same direction in 12 seconds. What is the actual speed of the train?
A. 42 km/h
B. 38 km/h
C. 48 km/h
D. 45 km/h
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Correct Answer: Option A

Explanation:
Relative speed = 120 / 12 = 10 m/s = 10 * (18/5) = 36 km/h. Since they move in the same direction, Relative Speed = Speed of train - Speed of worker => 36 = Speed of train - 6 => Speed of train = 42 km/h.
This question belongs to: Maths Time Speed and Distance
Question #419
A fugitive breaks out at 3:00 PM moving at 48 km/h. The squad pursues from the same point at 4:30 PM at 64 km/h. At what time will the squad catch the fugitive?
A. 9:00 PM
B. 10:00 PM
C. 9:30 PM
D. 8:30 PM
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Correct Answer: Option A

Explanation:
By 4:30 PM, the fugitive has traveled for 1.5 hours, covering 48 * 1.5 = 72 km. Relative speed = 64 - 48 = 16 km/h. Time to catch = 72 / 16 = 4.5 hours. Catching time = 4:30 PM + 4.5 hours = 9:00 PM.
This question belongs to: Maths Time Speed and Distance
Question #420
A vehicle covers a certain distance at 48 km/h in 5 hours. How much time will it take to cover the same distance at 60 km/h?
A. 3.5 hours
B. 5.0 hours
C. 4.0 hours
D. 4.5 hours
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Correct Answer: Option C

Explanation:
Distance = 48 * 5 = 240 km. New time required = 240 / 60 = 4 hours.
This question belongs to: Maths Time Speed and Distance

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