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Q.

A man swimming downstream overcome a float at a point M. After travelling distance D he turned back and passed the float at a distance of D/2 from the point M, then the ratio of speed of swimmer with respect to still water to the speed of the river will be

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a

2

b

3

c

4

d

2.5

answer is B.

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Detailed Solution

Time taken by man to go from M to P and then P to N = time taken by float to go from M to N.Dv+u+D2(v−u)=D2u Simplify to get vu=3.
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A man swimming downstream overcome a float at a point M. After travelling distance D he turned back and passed the float at a distance of D/2 from the point M, then the ratio of speed of swimmer with respect to still water to the speed of the river will be