Question

A man rows to a place 48 km distance and back in 14 hrs. he finds that he can row 4 km with the stream in the same time as 3 km against the stream. find the rate of the stream:

Answer 1

Time for (4km) downstream = Time for (3km) Upstream
48/[4/T] + 48/[3/T] = 14hrs...given
12T+16T =14
T=1/2hrs
Upstream speed=4/(1/2)=8kmph
Downstreamspeed= 3/(1/2)=6kmph
stream speed = (Upspeed-downspeed)/2 = 2/2= 1kmph