SOLUTION: A steamer is going downstream in a river and cover a distance between two villages in 20 hours and same distance it covers in 25 hours when he return back in upstream if the speed

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Question 984754: A steamer is going downstream in a river and cover a distance between two villages in 20 hours and same distance it covers in 25 hours when he return back in upstream if the speed of the river is 4 km/h. Find the distance between two villages.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
ship speed=x
current speed=4 kph
The distance is (x+4)*20, units in km.
It is also ((x-4)*25.
Those two are equal.
;
(x+4)*20=(x-4)*25
20x+80=25x-100
-5x=-180
x=36 km/h
;
The speed is 40 km/h downstream *20 hours or 800 km.
Upstream, the speed is 32 km/h*25 hours or 800 km.
800 km is the distance.