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.
Answers
Answered by
6
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
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
Answered by
3
Answer:
this is your ans
I hope it helps you
Attachments:
Similar questions