Question

Two buses travel to a place at speed of 95 kmph and 60 kmph respectively. if the second bus takes 52 hours more than the first for the journey, then what is the length of the journey?

Answer 1

Let the time taken by the fast bus= X
So the distance covered by the fast bus=
Distance=Speed*Time
= 95*X
= 95X

So the time taken by the slow bus= (X+52) Hours
So The Distance Covered By slow Bus= 60(X+52)
=60X+ 3120

But the distance are equal.. so we take both the difference as equal!
95X=60X+3120
35X=3120
X=89.14

So Total Distance=95*89.14
=8468.3 KM(Approx) Ans..

Note- I think the hours should be 52.5 Hours instead of 52 hours!