Question

A train passes a station platform in 54 seconds and a woman standing on the platform in 30 seconds. If the speed of the train is 81 kmph, what is the length of the platform?

• A. 560 m
• B. 540 m
• C. 570 m
• D. 480 m
• E. 600 m

Answer 1

The correct option is B

540 m

Speed of train = 81kmph = 22.5 m/s
Length of the train = 22.5$\times$30 = 675 m

Let the length of the platform be L

$\frac{L+675}{22.5}=54$

L = 540 m