SOLUTION: a boat travels upstream for 156 miles in 3 hours and returns in 2 hours traveling downstream in a local stream of water. What is the rate of the boat in still water and the rate of

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Question 1048584: a boat travels upstream for 156 miles in 3 hours and returns in 2 hours traveling downstream in a local stream of water. What is the rate of the boat in still water and the rate of the current?
Found 2 solutions by josgarithmetic, ewatrrr:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
system%28r-c=156%2F3%2Cr%2Bc=156%2F2%29

Sometimes creating a data table helps. Notice that upstream speed is smaller than downstream speed. Both r and c are positive numbers. You can solve the system (expecting that just setting up the system was the trouble, and not handling the algebra).

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
r + c = 78mph 156%2F2%29
r - c = 52mph 156%2F3
2r = 130mph
r = 65mph
c = 13mph 78-65