Question

Two trains run at the same time from points A to B and from B to A at a speed of 60 km / h and 75 km / h respectively. When they meet together, one train is 100 km than the other. Find the distance from point A to B if it has run much. (A). 1350 km (B). 1280 km (C). 1080 km (D). 980 km

Answer 1

Answer:

Assuming distance between A and B is d and speed of train B is s.

After passing each other :

d1(distance travel by A train) = 48 * 12

= 576 km

d 2(distance travel by B train ) = 3* s

d1 + d2 = d

576 + 3*s = d ————————(1)

Before passing assuming both train take t time to pass from starting

d = (s + 48 )* t ———————-(2)

from both equation

s*t + 48*t = 576 + 3*s ——————-(3)

distance travel by train A just after passing = distance travel by train B just before passing

s *t = 576

distance travel by train A before passing = distance travel by train B just after passing

48 * t = 3*s

s = 16*t

from equation (3)

16*t*t + 48*t = 576 + 3 * 16* t

t*t = 576/16

t*t = 36

t = 6 hours

again from (3)

s*6 + 48*6 = 576 + 3* s

3*s = 288

s = 96 km/h

speed of train B is 96 km/h

Step-by-step explanation:

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