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Problems on Trains

Q1:
What is the speed of the train whose length is 210 metres?
I.  The train crosses another train (Howrah Express/12869) of 300 metres length running in opposite direction in 10 seconds.
 II.  The train crosses another train (Howrah Express/12869) running in the same direction at the speed of 60 km/hr in 30 seconds.

A I alone sufficient while II alone not sufficient to answer

B II alone sufficient while I alone not sufficient to answe

C Either I or II alone sufficient to answer

D Both I and II are not sufficient to answer

E Both I and II are necessary to answer

ANS:E - Both I and II are necessary to answer

Time taken to cross the train,
running in opposite directions		 = (l1 + l2) sec.
(u + v)
 10 = (210 + 300)
(u + v)
    u + v = 51.
Time taken to cross the train, running in same direction = (l1 + l2) sec.
(u - v)
 30 = (210 + 300)
(u - 60 x (5/18))
 u = 17 + 50 m/sec.
3
Thus, u and v can be obtained.  Correct answer is (E).



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