Q. 354.6( 7 Votes )

# 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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