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

Speed = distance/time


Let the speed of sailor in still water be ‘a’ and speed of the current be ‘b’.


Relative speed of sailor going upstream = a – b


Relative speed of sailor going downstream = a + b


Given, sailor goes 8 km downstream in 40 minutes and returns in 1 hour.



a + b = 12 ----- (1)


Also,


a – b = 8/1 = 8 ------ (2)


Adding (1) and (2).


2a = 20


a = 10km/hr


Thus, b = 12 – 10 = 2 km/hr


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