Question 64

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.

Solution

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 $$speed\times time = distance$$

2(B+C) = 20    Eq.(i)

5(B-C) = 20    Eq.(ii)
So  Eq.(i) =  Eq.(ii)

2(B+C) = 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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