SOLUTION: A boat can travel 48 miles upstream in 3 hours. Coming back downstream, the trip takes 2 hours over the same distance. What is the rate of the current?

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Question 1002776: A boat can travel 48 miles upstream in 3 hours. Coming back downstream, the trip takes 2 hours over the same distance. What is the rate of the current?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the rate in still water, r.
Call the rate of the current, c.
We have
3(r - c) = 48 or 3r - 3c = 48 or r - c = 16
2(r + c) = 48 or 2r + 2c = 48 or r + c = 24
Now add the last two equations and get
2r = 40
r = 20
Now, because r + c = 24,
c = 4 miles per hour.