The Iceland team, while rowing, covered a distance of 20 km downstream in 2 hours and the same distance upstream in 5 hours. Find the speed of the stream.
Let's assume the speed in still water and the speed of the stream are 'B' and 'C' respectively.
The Iceland team, while rowing, covered a distance of 20 km downstream in 2 hours and the same distance upstream in 5 hours.
So $$speed\times time =Â distance$$
2(B+C) = 20Â Â Eq.(i)
5(B-C) = 20Â Â Â Eq.(ii)
So Eq.(i) = Eq.(ii)
2(B+C) =Â 5(B-C)
2B+2C = 5B-5C
2C+5C = 5B-2B
3B = 7C
$$\frac{B}{C}\ =\ \frac{7}{3}$$
So let's assume B = 7y and C = 3y.
Put the values of 'B' and 'C' in Eq.(i).
2(7y+3y) = 20
(7y+3y) = 10
10y = 10
y = 1
speed of the stream = 3y
= $$3\times1$$
= 3 km/h
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