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

Answer 1

Heya Mate....................

Here is your answer..........................

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Let the speed of train be x.

Distance = 180km

so, time = 180/x

when speed is 6 km/h more, time taken = 180/x+6

According to question:

180 / x-180 / x+6 = 1

180 (x+6-x) / x(x+6) = 1

180*6 = x(x+6)

1080 = x^2 + 6x

x^2 + 6x - 1080

x^2 + 36x - 30x - 1080

x(x + 36) -30(x + 36)

(x - 30)(x + 36) = 0

x = 30, -36

But x being speed cannot be negative.

So, x = 30

Hence, the speed of the train is 30km/h.

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Thanks..............................

 

Answer 2

Answer:

this is your ans

I hope it helps you