Question

A train travels 360 km at a uniform speed. If the speed had been 5 km/hours more, it would have taken 1hour less for the same journey. Find the speed of the train.

Answer 1

let usual speed of train = x km/hr
total distance = 360 km
so time taken = 360 / x  hours ----(i)

new speed of train = x + 5 km/hr
now time taken = 360 / (x+5) ----(ii)

according to given condition 
 360/x  -  360/(x+5) = 1 
 (360x + 1800 - 360x) / [x(x+5)] = 1
 1800 = x^2 + 5x
 x^2 + 5x - 1800 =0
x^2 + 45x - 40x -1800 = 0
x(x + 45) -40(x + 45)
(x - 40) (x + 45) = 0
so x = 40

that's why usual speed of train = 40 km/hr


i hope it will help you
regards

Answer 2

Answer:

this is your ans

I hope it helps you