The speed of two trains is in the ratio of 5:4 and each of them travelled 270km. If the total time taken is 9 hours

The speed of two trains is in the ratio of 5:4 and each of them travelled 270km. If the total time taken is 9 hours, then find the speed of the faster train?

a.            40.0 kmph

b.            56.5 kmph

c.             67.5 kmph

d.            78.5 kmph

e.            82.5 kmph

Sol:

Let the speed of faster and slower train are 5s

kmph and 4s kmph respectively

Time taken by faster train = 270/5s

Time taken by slower train = 270/4s

Total time taken, 270/5s + 270/4s = 9

s = 13.5 kmph

Speed of faster train = 5 * 13.5 = 67.5 kmph

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