SOLUTION: On an upstream trip, a canoe travels 40 km in 5 hours. Downstream, it travels the same distance in half the time. What is the rate of the canoe in still water and the rate of the

Question 998846: On an upstream trip, a canoe travels 40 km in 5 hours. Downstream, it travels the same distance in half the time. What is the rate of the canoe in still water and the rate of the current?
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
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On an upstream trip, a canoe travels 40 km in 5 hours. Downstream, it travels the same distance in half the time.
What is the rate of the canoe in still water and the rate of the current?
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On an upstream trip, the canoe speed relative to the river banks is = 8 .

This speed is the difference of the speed of canoe relative water, u, and the speed of current, v:

8 = u - v.         (1)

Downstream, the canoe speed relative to the river banks is twice more: = 16 .

This speed is the sum of the speed of canoe relative water, u, and the speed of current, v:

16 = u + v.         (2)

Add (1) and (2). You will get

2u = 8 + 16 = 24, hence, u = = 12 .
Then v = 4 .

Answer. The canoe speed in a still water is 12 .
              The current speed is 4 .

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