Two trains cross each other in 14 seconds when running in opposite directions along parallel&nbsp;tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the&nbsp;other train is 6 km/hr less than the faster one, its length, in m, is

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Question :

Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in m, is

Started 6 days ago by Shashank in

0 6

A.
184
B.
180
C.
192
D.
190

Option D is the correct answer.

Explanatory Answer

Speed of faster train = 160/12 m/s
Let's convert it to km/hr = (160/12) x (18/5) = 48 km/hr
Speed of slower train = 48-6= 42 kmph
Trains are moving in opposite directions we must add the speeds and convert to m/s 48+42 =
90x5/18 = 25m/s
(160+x)/14 =25 160 + x = 350
x = 190m