Miscellaneous Question 31

  1. A train travelling at $72$ $ kmph$ crosses a platform in 30 seconds and a man standing on the platform in 18 seconds. What is the length of the platform? (in metres)

(1) 240

(2) 360

(3) 420

(4) 600

(5) 400

(Indian Bank PO (Pre.) Exam, 21.01.2017 (Ist Sitting))

Show Answer

Correct Answer: 31. (1)

Solution: 31. (1) Speed of train $=72 $ $\mathrm{kmph}$

$=\left(\frac{72 \times 5}{18}\right) \mathrm{m} / \mathrm{sec}=20 $ $\mathrm{m} / \mathrm{sec}$

$\because$ The train crosses a man standing on the platform in 18 seconds.

$\therefore$ Length of train $=18 \times 20$

$=360$ metre

If the length of platform be $x$ metre, then $\frac{x+360}{30}=20$

$\Rightarrow x+360=600$

$\Rightarrow x=600-360=240$ metre