SOLUTION: moe can paddle his kayak 6 mph in still water. It takes him the same amount if time to paddle against the current for 5 miles as it does to paddle 10 miles with the current. How fa

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Question 1076397: moe can paddle his kayak 6 mph in still water. It takes him the same amount if time to paddle against the current for 5 miles as it does to paddle 10 miles with the current. How fast is the current in that section of the river
Found 2 solutions by jorel1380, josgarithmetic:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let c be the speed of the current. Then:
5/6-c = 10/6+c
60-10c=30+5c
15c=30
c=2 mph as the speed of the current. ☺☺☺☺

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
system%28%286-c%29t=5%2C%286%2Bc%29t=10%29

Solve this equation for c:
highlight_green%285%2F%286-c%29=10%2F%286%2Bc%29%29

1%2F%286-c%29=2%2F%286%2Bc%29

2%286-c%29=6%2Bc
12-2c=6%2Bc
6=3c
highlight%28c=2%29