A swimmer swims from a point A against a current for 5 minutes and then swims backwards in favour of...........

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A swimmer swims from a point A against a current for 5 minutes and then swims backwards in favour of the current for next 5 minutes and comes to the point B. if AB is 100 metres, the speed of the current ( in km /hr ) is

0.4

0.2

0.6

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Explanation:

A distance covered by upstream Speed in 5 minutes = 5/60 (x - y)
B Distance covered by downstream speed in 5 minutes = 5/60 (x + y)
B - A = AB
5/60 (x + y) – 5/60 (x - y) = 100 / 1000 km
5/60 [x + y – x + y] = 100/ 1000 km
On solving
y = 0.6 km/hr
Thus, Speed of the current = 0.6 km/hr.