Two trains travelling in oppositedirection at 60kmph and 50 kmph crossed each other in 9 s. If the train which is travelling at 60 kmph crossed a pole in 6s, then find the length of the train which is travelling at 50 kmph.

Two trains travelling in oppositedirection at 60kmph and 50 kmph cross

1.	Two trains travelling in oppositedirection at 60kmph and 50 kmph crossed each other in 9 s. If the train which is travelling at 60 kmph crossed a pole in 6s, then find the length of the train which is travelling at 50 kmph.
Answer» 130 m 160 m 175 m 200 m Solution :Let the length of the train, which is traveling at 60 kmph or `(50)/(3) " m/s, is " l_(1)` m and the length of the train travellin at 50 kmph or `(125)/(9) "m/s is "l_(2)` m. `"Given," (l_(1))/(50/3) = 6` `rArr l_(1) = (50)/(3) xx 6 = 100m` It is also given that, `(l_(1) + l_(2))/(50/(3) + (125)/(9)) = 9` `rArr l_(1) + l_(2)= 9((150 + 125)/(9))` `rArr 100 + l_(2) = 275` `rArr l_(2) = 175M` HENCE, the correct option is (c).