If a car is travelling from east is running at 50 km/hr and at the same time man is walking from the west at the speed of 5 km/hr. They both are travelling on a 3 km long street. At the time when they cross each other what will be the distance covered by the man?

Given:

A car is travelling from east is running at 50 km/hr and at the same time man is walking from the west at the speed of 5 km/hr.

 To do:

We haveto find the distance covered by the man when they cross each other.

Solution:

Let the distance covered by the car when they meet be $x$ km.

This implies the distance covered by the man when they meet $=3-x$ km.

The time taken by both to reach the meeting point will be same.

We know that,

$Time=\frac{Distance}{Speed}$

Therefore,

$\frac{x}{50}=\frac{3-x}{5}$

$\frac{x}{10}=3-x$

$x=10(3-x)$

$x=30-10x$

$10x+x=30$

$11x=30$

$x=\frac{30}{11}$

$x=2.72$ km

$3-x=3-2.72=0.28$ km

The distance travelled by the man is 0.28 km.

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Updated on: 10-Oct-2022

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