A man can row a boat in still water at the rate of 6 km/hr. If the stream flows at the rate of 2km/hr. He takes half the timing going downstream than going upstream the same direction. His average speed for upstream and downstream trip is:
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Step-by-step explanation:
Letthedistancetravelled=dkm
Giventhatthespeedoftheboatinstillwater=6km/hrand
thespeedofthewatercurrent=2km/hr.
∴Therelativespeeddownstream=(6+2)km/hr=8km/hr.
Sothetimetakendownstream=
relativespeed
distance
=
8
d
hr.
∴
Againtherelativespeedupstream=(6−2)km/hr=4km/hr.
thetimetakenupstream=
relativespeed
distance
=
4
d
hr.
∴Thetotaltimeforgoingdownandcomingup
=(
8
d
+
4
d
)=
8
3d
hr
Also thetotal distance forgoing down and coming up=d+d=2d.
∴Average speed=
totaltime taken
total distance
=
8
3d
2d
=
3d
2d×8
km/hr=
3
16
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