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Question

The train travels 360 km at a uniform speed if the speed has been 5 km/hr more, it would have taken 1 hour less for the same journey. Find the speed of the train.

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Solution

Let the original speed of the train be x km/h.

Time taken to cover a distance of 360 km = 360/x hours.

New speed of the train = (x+5) km/h.

Time taken to cover a distance of 360 km at new speed = 360/x+5 hours.

Since, the train takes 1 hour less time,

360/x - 360/ x+5 = 1

360 (5) = x² + 5x

1800 = x² + 5x

x² + 5x - 1800 = 0

x² + 45x - 40x - 1800 = 0

x (x+45) - 40( x +45) = 0

(x+45) (x-40) = 0

x = (-45), 40

But since speed cannot be in negative.

x = 40 km/hr.

Hence, the original speed of the train is 40 km/h.


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