Latest Aptituted Aptitude Question SOLUTION: 43.Two trains are travelling in opposite directions at uniforms speeds of 60 kmph and 50 kmph.They take 5 seconds to cross each other.If the two trains travelled in the same direc

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(#M40164444) APTITUTED Numerical Ability question Amcat Keep an EYE

43.Two trains are travelling in opposite directions at uniforms speeds of 60 kmph and 50 kmph.They

take 5 seconds to cross each other.If the two trains travelled in the same directions.then a passenger

sitting in the faster moving train would have overtaken the other than in 18 seconds.what are the

lengths of the trains?

Asked In Aptituted sashreek (7 years ago)

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Devendra Marghade  (7 years ago)

102.77 m. & 50 m.

Let the length of the faster moving train be x m and slower moving be y m and their speed be 60 kmph and 50 kmph.
60 kmph=60*(5/18)=50/3 m/s and 50*(5/18)=125/9 m/s

Relative speed in opposite direction=50/3 + 125/9 = 275/9 m/s and
Relative speed in same direction=50/3 - 125/9 = 25/9

Time taken to cross in the opposite direction=(x+y)/(275/9)= 5 sec.
=> x + y= 1375/9 ---(i)
Time taken by faster train to cross the length of slower train in same direction=y/(25/9)=18
=> y=50 m.
Substituting value of y in (i), we get x= 925/9 =102.77 m.

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