Question

LEGALEDGE
Algebra
8. A train covered a certain distance at a uniform speed. If the train could have been 10 km/hr, faster, it would have
taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/hr; it would have taken 3 hours
more than the scheduled time. Find the distance covered by the train.
(a) 600km
(b) 700km
(c) 500km
(d) 800km​

Answer 1

Answer:

a) 600 km

Step-by-step explanation:

Let distance be X, velocity be V and Time be T.

hence, X = V X T

and X = (V+10) X (T - 2)

and X = (V-10) X (T + 3)

comparing and solving simultaneously we get V = 50 and T = 12

hence, X = V X T = 50 X 12 = 600 km