Question

if the speed of a train is increased by 5 km/h ,then the train takes 1 hour less time to cover a distance of 360 km. find the speed of the train ​

Answer 1

The answer is
40km/h
HOOE IT HELPS YOU!....!!!

Answer 2

Speed of train is 40 km/hr

Step-by-step explanation:

Distance= 360 km

Let the speed of the train be x

Time = $\frac{Distance}{Speed}=\frac{360}{x}$

We are given that if the speed of a train is increased by 5 km/h ,then the train takes 1 hour less time

So, New Speed = x+5

Time = $\frac{Distance}{Speed}=\frac{360}{x+5}$

ATQ

$\frac{360}{x+5}-\frac{360}{x}=1\\x^2+5x=1800\\x^2+5x-1800=x\\x^2+45x-40x-1800=0\\x(x+45)-40(x+45)=0\\x=40,-45$

Since Speed cannot be negative

So, Speed of train is 40 km/hr

#Learn more:

A train covers 2km in 30minutes find the speed of train

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