The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and then mark the appropriate option.

How much time will the train X take to cross another train Y running in opposite direction?

I. Train X crosses a lamp post in 9 seconds.

II. Ratio of the speeds of trains X and Y is 3:2.

III. Length of the two trains together is 750 metres.

I only

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II only

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I or II only

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Cannot be determined

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Solution

The correct option is D
Cannot be determined

II. Let the speeds of A and B be `3x' m / sec and `2x' m / sec.

I. Length of train X = (3x $\times$ 9) m = 27x metres.

III. Length of train Y = (750 - 27x) m.

Relative speed = (3x + 2x) m/sec = 5x m/sec.

$T i m e t a k e n b y X t o c r o s s Y = \frac{S u m o f t h e i r l e n g t h s}{R e l a t i v e s p e e d} = \frac{750}{5 x} s e c .$

Thus, even with the information in all the three statements, question remains unanswered.

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