Question

A train of length 360m is running at a speed of 60 kmph and aryan walks in the same direction of the train at the speed of 6kmph in what time they cross each other?

Answer 1

the train will take 24 secs to cross aryan

Answer 2

Aryan and the train cross each other at 24 sec.  

Given:

The length of train = 360m

And, Speed of train $= 60\ km/h =\frac{60 \times 1000}{60 \times 60}\ \mathrm{m} / \mathrm{s}=\frac{50}{3}\ \mathrm{m} / \mathrm{s}$

Given, Speed of Aryan $=6\ km/h =\frac{6 \times 1000}{60 \times 60}\ \mathrm{m} / \mathrm{s}=\frac{5}{3}\ \mathrm{m} / \mathrm{s}$

Since, both are moving in the same direction.

Thus, Relative Speed of train with respect to Aryan $=\frac{50}{3}\ \mathrm{m} / \mathrm{s}-\frac{5}{3}\ \mathrm{m} / \mathrm{s}=\frac{45}{3}\ \mathrm{m} / \mathrm{s}=15\ \mathrm{m} / \mathrm{s}$

We know, $\begin{array}{l}{\text { Distance }=\text { Speed } \times \text { Time }} \\ {360=15\ \mathrm{m} / \mathrm{s} \times \text { Time }}\end{array}$

Time $=\frac{360}{15}\ sec = 24\ sec$