A sailor goes 8 km downstream in 40 minutes and returns in 1 hour. Find the speed of the sailor in still water and the speed of the current.

Let the speed of the sailor in still water be v kmph and the speed of the current be u kmph.


According to question -


Speed of the sailor in upstream direction = v - u


Speed of the sailor in downstream direction = v + u


8/(v + u) = 2/3


v + u = 12.....(1)


and,


8/(v - u) = 1


v - u = 8.....(2)


Adding equations (1) and (2), we get -


v = 10


Substituting the value of v in (2), we get -


u = 2


Thus, speed of sailor in still water = 10 kmph and speed of current = 2 kmph.


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