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What is the speed of the current ?

I. A man can swim a distance of 9 kms. In 1 1 2 hrs. down streams.

II. While coming back up streams it takes him 3 hours to cover the same distance

a

if the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

b

if the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

c

if the data either in statement I alone or in statement II alone is sufficient to answer the question.

d

if the data in both the statements I and II together are not sufficient to answer the question.

e

if the data in both the statements I and II together are necessary to answer the question.

Answer : Option E
Explanation :

If the rate of swimming in still water be x kmph and speed of stream be y kmph,

then from statement I,

x+y=932=6x + y = frac{9}{{frac{3}{2}}} = 6 kmph .....(i)

From statement II,

x y = 93=3frac{9}{3} = 3 kmph ……(ii)

Clearly, both statements I and II are required to find the value of y.

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