Discussion :: Problems on Trains

What is the length of a running train P crossing another running train Q?
I. These two trains take 18 seconds to cross each other.
II. These trains are running in opposite directions.
III. The length of the train Q is 180 metres.
A.
I only 

B.
II only 

C.
III only 

D.
All I, II and III are required 

E.

Answer : Option E
Explanation :
Let the length of the train P be x metres.
I. These trains are running in opposite directions.
II. Length of the train Q is 180 m.
III. Time taken by P to cross Q =  \(\frac { (180 +X) } { Relative speed } \) 18 =\(\frac { (180 +X) } { Relative speed } \)  
Thus, even with I, II and III, the answer cannot be obtained.
Correct answer is (E).
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