Question

A train travels 180 km at a uniform speed if the speed had been 6 km per hour more it would have taken 1 hour less for the same journey find the speed of the train.
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Answer 1

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Answer 2

Given :

A train travels 180 km at a uniform speed if the speed had been 6 km per hour more it would have taken 1 hour less for the same journey

To Find:

Find the speed of the train.

Solution:

Let the speed of train be x

Distance = 180 km

$Time = \frac{distance}{Speed}=\frac{180}{x}$

We are given that if the speed had been 6 km per hour more it would have taken 1 hour less for the same journey

New speed = x+6

$Time = \frac{distance}{Speed}=\frac{180}{x+6}$

ATQ

$\frac{180}{x}-\frac{180}{x+6}=1\\\frac{180x+1080-180x}{(x)(x+6)}=1\\1080=x(x+6)\\x=-36,30$

Hence The speed of train is 30 km/hr