Problems on Trains - Arithmetic Aptitude Questions and Answers

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What is the length of a running train crossing another 180 metre long train running in the opposite direction?

I.The relative speed of the two trains was 150 kmph.

II.The trains took 9 seconds to cross each other.

I alone sufficient while II alone not sufficient to answer

II alone sufficient while I alone not sufficient to answer

Either I or II alone sufficient to answer

Both I and II are not sufficient to answer

Both I and II are necessary to answer

Answer : Option E

Explanation :

Let the two trains of length a metres and b metres be moving in opposite directions at u m/s and v m/s.

Time taken to cross each other =		\((\frac { a+b} { u+v} ) sec\)sec.

Now, b = 180, u + v =						\( (150\times\frac{5}{18})m/sec\)=		\( (\frac { 125 } { 3 } ) m/sec\)m/sec.

9 = \((\frac { a+180 } { (125/3) } )\)

a = (375 - 180) = 195 m.

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