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Question

# What is the speed of the boat in still water? I. It takes 2 hours to cover the distance between A and B downstream. II. It takes 4 hours to cover the distance between A and B upstream.

A
Data in the statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
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B
Data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
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C
Data either in statement I alone or in statement II alone is sufficient to answer the question.
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D
Data given in both the statements I and II together are not sufficient to answer the question.
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E
Data in both the statements I and II together are necessary to answer the question.
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Solution

## The correct option is D Data given in both the statements I and II together are not sufficient to answer the question. Let the distance between A and B be z km. Again, let the speed of the boat in still water be x kmph and that of the stream be y kmph. ∴ Rate downstream = (x+y) kmph Rate upstream = (x-y) kmph From statement I, zx+y=2 …(i) From statement II, zx−y=4 …(ii) We have two equations and three variables, therefore both equations are not sufficient.

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