Question

A train movin with uniform speed for a certain distance takes 6hours less if

Answer 1

I think ur question is incomplete

Answer 2

A train moving with uniform speed for a certain distance takes 6 hr less if its speed be increase by 6 km/h . It would have take 6 hrs more if had its speed decreased by 4 km/h. Find the distance travelled and speed of train.

Answer :

Let the distance be y km / hr and speed be x km / hr

Scheduled time = y / x

Now,

y / ( x + 6) = (y / x) - 6

= 6x^2 + 36x = 6y

x^2 + 6x = y

Now,

y / ( x - 4) = (y / x) + 6

= 4y = 6x^2 - 24x

2y = 3x^2 -12x

2(x^2+6x) = 3x^2 - 12x

2x^2 + 12x = 3x^2 - 12x

24x = x^2

x = 24

So speed of train is 24 km / hr

Distance = x^2 + 6x = y

= 24^2 + 6*24 = y

= 720 km