Two trains start at the same time from points A and B towards each other and after crossing each
other, they take 25 hours and 9 hours in reaching points B and A, respectively. Find the ratio of speeds
of trains starting from A to that of starting from B.
Answers
Answer:
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Step-by-step explanation:
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