Question

A train travels 360km at uniform speed . If the speed had been 5kmperhour more it would have taken 1 hour less for the same journey .Find the speed of the train

Answer 1

Solve by this equation.
(x+5) (360/x - 1) = 360
Here x is speed of train.
Answer is 45km/hr

Answer 2

Let the speed of the train be x km/hr.

Time taken to cover 360 =360/x

According to the given question,
$(x + 5)( \frac{360}{x} - 1) = 360$
$360 - x + \frac{1800}{x} - 5 = 360$
${x}^{2} + 5x - 1800 = 0$
${x}^{2} + 45x - 40x - 1800 = 0$
$x(x + 45) - 40(x + 45) = 0$
$(x + 45)(x - 40) = 0 \\ x = 40 \: and \: - 45$


However, speed cannot be negative.

Therefore, the speed of train is 40 km/h