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Question

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.

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.

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Solution

The correct option is **E** Even with I, II and III, the answer cannot be obtained.

Let the length of the train P be x metres.

II. These trains are running in opposite directions.

III. Length of the train Q is 180 m.

I. Time taken by P to cross Q =(180+x)Relative speed⇒18=(180+x)Relative speed

Thus, even with I, II and III, the answer cannot be obtained.

∴ Correct answer is (E).

Let the length of the train P be x metres.

II. These trains are running in opposite directions.

III. Length of the train Q is 180 m.

I. Time taken by P to cross Q =(180+x)Relative speed⇒18=(180+x)Relative speed

Thus, even with I, II and III, the answer cannot be obtained.

∴ Correct answer is (E).

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