A train 125 meters long passes a man running at 5 km/h in the same direction in 10 seconds. Find the speed of the train. MCQ with Answer and Explanation

A train 125 meters long passes a man running at 5 km/h in the same direction in 10 seconds. Find the speed of the train.
A. 54 km/h
B. 45 km/h
C. 60 km/h
D. 50 km/h
Answer: Option D
Solution (By JKExamLibrary)
Relative speed = 125 / 10 = 12.5 m/s = 12.5 * (18/5) = 45 km/h. Since they are in the same direction: Relative Speed = Speed of train - Speed of man => 45 = Speed of train - 5 => Speed of train = 50 km/h.

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Practice More Time Speed and Distance Questions

Question #1
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. 24 seconds
B. 20 seconds
C. 18 seconds
D. 22 seconds

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 #2
If a student walks from his house to school at 5 km/h, he is late by 10 minutes. However, if he walks at 6 km/h, he is late by only 2 minutes. Find the distance between his house and school.
A. 5 km
B. 4 km
C. 6 km
D. 3 km

Correct Answer: Option B


Explanation:
Time difference = 10 - 2 = 8 minutes = 8/60 hour = 2/15 hour. Let distance be d. d/5 - d/6 = 2/15 => d/30 = 2/15 => d = 60/15 = 4 km.

This question belongs to: Maths Time Speed and Distance
Question #3
A cyclist covers 1200 meters in 4 minutes flat. Find his speed index in km/h.
A. 15 km/h
B. 20 km/h
C. 18 km/h
D. 22 km/h

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