A train 100 meters long running at 54 km/h passes a standing pedestrian. Find the time taken to cross. MCQ with Answer and Explanation

A train 100 meters long running at 54 km/h passes a standing pedestrian. Find the time taken to cross.
A. 7.2 seconds
B. 8.0 seconds
C. 6.66 seconds
D. 6.0 seconds
Answer: Option C
Solution (By JKSSB Mock Tests)
Speed of train = 54 * (5/18) = 15 m/s. Time taken = 100 / 15 = 6.66 seconds.

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Practice More Time Speed and Distance Questions

Question #1
A train 250 meters long takes 30 seconds to cross a man running at 6 km/h in the opposite direction. Find the speed of the train.
A. 30 km/h
B. 36 km/h
C. 24 km/h
D. 42 km/h

Correct Answer: Option C


Explanation:
Relative speed = 250 / 30 = 25/3 m/s = (25/3) * (18/5) = 30 km/h. In opposite directions, Relative Speed = Speed of train + Speed of man => 30 = Speed of train + 6 => Speed of train = 24 km/h.

This question belongs to: Maths Time Speed and Distance
Question #2
A person covers a distance of 100 km at 25 km/h and another 150 km at 50 km/h. Find his average speed for the whole journey.
A. 35.71 km/h
B. 37.50 km/h
C. 35.5 km/h
D. 38.25 km/h

Correct Answer: Option A


Explanation:
Total distance = 100 + 150 = 250 km. Total time taken = 100/25 + 150/50 = 4 + 3 = 7 hours. Average speed = 250 / 7 = 35.71 km/h.

This question belongs to: Maths Time Speed and Distance
Question #3
A distance of 600 km is covered by a passenger train in 12 hours. If the speed of an express train is 20 km/h more than that of the passenger train, how much less time will the express train take to cover the same distance?
A. 3 hours
B. 3.4 hours
C. 4 hours
D. 2 hours

Correct Answer: Option B


Explanation:
Speed of passenger train = 600 / 12 = 50 km/h. Speed of express train = 50 + 20 = 70 km/h. Time taken by express train = 600 / 70 = 8.57 hours (approx 8 hours 34 minutes). Time saved = 12 - 8.57 = 3.43 hours.

This question belongs to: Maths Time Speed and Distance