Question

How much time will the train A take to cross another train B running in the opposite direction?
I. Train A crosses a signal pole in 6s.
II. Ratio of the speeds of trains A and B is 3:2.
III. Length of the two trains together is 500 m.

• A. Only I
• B. Only II
• C. Only III
• D. I and II
• E. The question cannot be answered even with the information in all the three statements.

Answer 1

The correct option is E The question cannot be answered even with the information in all the three statements.

From I,
Time taken by train A to cross a signal pole = 6s
From II,
Let the speed A and B be 3x m/s and 2x m/s, respectively.
From I and II, Length of train A = 3x $\times$ 6s = 18xs.
From III, Length of train B = 500 - 18xs
Now, relative speed =(3x+2x)m/s = 5x m/s
Time taken by A to cross B $=\frac{(500-18xs)+18xs}{5x}$
Thus, all the given three statements are insufficient to give the answer.