A train 160 meters long running at 54 km/h crosses a platform in 24 seconds. Find the length of the platform. MCQ with Answer and Explanation

A train 160 meters long running at 54 km/h crosses a platform in 24 seconds. Find the length of the platform.
A. 220 meters
B. 200 meters
C. 180 meters
D. 240 meters
Answer: Option B
Solution (By JKExamLibrary)
Speed of train = 54 * (5/18) = 15 m/s. Total distance covered in 24 seconds = 15 * 24 = 360 meters. Platform length = 360 - 160 = 200 meters.

This question belongs to: Maths Time Speed and Distance

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Practice More Time Speed and Distance Questions

Question #1 Report Error
Excluding stoppages, a transit bus maintains an average speed of 75 km/h, and including stoppages its speed is 60 km/h. Find the stoppage time per hour.
A. 18 minutes
B. 10 minutes
C. 12 minutes
D. 15 minutes

Correct Answer: Option D


Explanation:
Stoppage time per hour = (Fast speed - Slow speed) / Fast speed = (75 - 60) / 75 = 15 / 75 = 1/5 hour. Converting to minutes = (1/5) * 60 = 15 minutes.

This question belongs to: Maths Time Speed and Distance
Question #2 Report Error
A man can walk a certain distance in 6 hours and ride back in 2 hours. If he rides both ways, he will save 2 hours. How much time will he take if he walks both ways?
A. 12 hours
B. 10 hours
C. 8 hours
D. 14 hours

Correct Answer: Option B


Explanation:
Let W be walking time one way and R be riding time one way. W + R = 6 + 2 = 8 hours (total trip: walk one way, ride back). If he rides both ways, total time is 2R. He saves 2 hours, so 2R = 8 - 2 = 6 hours => R = 3 hours. From W + R = 8, W = 5 hours. Walking both ways takes 2W = 10 hours.

This question belongs to: Maths Time Speed and Distance
Question #3 Report Error
A train running at 54 km/h crosses a bridge 150 meters long in 18 seconds. Find the length of the train.
A. 100 meters
B. 140 meters
C. 120 meters
D. 150 meters

Correct Answer: Option C


Explanation:
Speed = 54 * (5/18) = 15 m/s. Total distance in 18 seconds = 15 * 18 = 270 meters. Length of train = 270 - 150 = 120 meters.

This question belongs to: Maths Time Speed and Distance