Question

A train covered a certain distance at a uniform speed. If the train would have been
10km/hr faster, it would have taken 2hr less then the scheduled time and if the train
was slower by 10km/hr, it would have taken 3 hr more than the scheduled time. Find
the distance covered by the train.​

Answer 1

Answer:

distance covered by the train = 600 km

Step-by-step explanation:

let ' d ' and ' x ' be the distance covered and the uniform speed of the train.

according to given,

d = x*t       ------------------- ( 1 )

d = ( x + 10 )*(t - 2)  

d = xt - 2x + 10t - 20   --------------( 2 )

d = (x - 10 )*( t + 3 )    

d = xt + 3x - 10t -30   --------------- ( 3 )

from equation ( 1 )

( 2 ) =>  2x - 10t + 20 = 0  ----------------( 4 )

( 3 ) =>  3x - 10t -30 = 0   ------------------( 5 )

solving equation ( 4 ) and ( 5 ) , we get

x = 50 km/hr        and     t =  12 hr

now,

( 1 ) => d = 600 km

finally the distance covered by the train = 600 km