Question

A train travelled a certain distance at a uniform speed. had the speed been 6 kmph more, the journey would have taken 4 hours less and had the speed been 6 kmph less, the journey would have taken 6 hours more. find the distance travelled by the train.

Answer 1

Answer:

Let t be the usual time taken by the train to cover the distance

Let d be the distance, s be the usual speed

Usual time taken => d/s = t => d=ts

d/(s+6) = t-4

ts/(s+6) = t-4

ts = ts+6t-4s-24

6t - 4s - 24 = 0 --> (1)

d/(s-6) = t+6

ts = ts-6t+6s-36

-6t + 6s - 36=0 --->(2)

Solving (1) nd (2), v get

s = 30 km/h

t = 24 hrs

d = t * s

d = 30 * 24 = 720 km

Ans : 720 km

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