Question

A train covers a certain distance at a uniform speed. if the train had been 6km/hr faster, it would have taken 4 hour less than the scheduled time. if the train was slower by 6 km/hr, it would have taken 6 hours more than the scheduled time.Find the lenght of the journey.

Answer 1

Answer:

hey

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