Q. 84.1( 19 Votes )

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Answer :

Let the speed of the train be x

Distance = 360 km


Time taken for a speed of x km/h


When speed is (x + 5) km/h time taken


According to the problem:



360(x + 5) = 360x + x(x + 5)


x2 + 5x - 1800 = 0


Performing factorization we get:


x2 + 45x - 40x - 1800 = 0


x(x + 45) - 40(x + 45)


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


x = 40, - 45


Since Speed cannot be negative, so


Speed = 40 km/h


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