SOLUTION: A boat can travel 51 mph in still water. If it travels 348 miles with the current in the same length of time it travels 264 miles against the current, what is the speed of the curr

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Question 906063: A boat can travel 51 mph in still water. If it travels 348 miles with the current in the same length of time it travels 264 miles against the current, what is the speed of the current?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
r*t=d
(51+c)*t=348
51*t+c*t=264
51*t-c*t=348
add
102t=612
t=612/102
t=6 hour
51*6+c*6=348
306+c*6=348
c*6=42
c=42/6
c=7 mph current
check
(51+c)*t=348
(51+7)*6=348
(58)*6=348
348=348
(51-c)*t=264
(51-7)*6=264
(44)*6=264
264=264
ok