Find the length of a platform in metres which a woman crosses at a speed of 60 km per hour in $\frac{5}{2}$ minutes.

Given:

The speed of the woman$=60\ km/hr$.

Time taken to cross the platform$=\frac{5}{2}$ minutes.
To do:
We have to find the length of the platform.

Solution: 

We know that,

Speed $=$ Distance$\div$Time

$1\ km/hr=\frac{5}{18}\ m/s$

$1\ min=60\ s$

This implies,

$60\ km/hr=60\times\frac{5}{18}\ m/s=\frac{50}{3}\ m/s$

$\frac{5}{2}\ min=\frac{5}{2}\times60\ s=150\ s$

Therefore,

Length of the platform$=\frac{50}{3}\times150\ m=2500\ m$

The length of the platform is 2500 m.

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Updated on: 10-Oct-2022

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