SOLUTION: A boat can travel 59 mph in still water. If it travels 325 miles with the current in the same length of time it travels 265 miles against the current, what is the speed of the c

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Question 965603: A boat can travel
59 mph in still water. If it travels
325 miles with the current in the same length of time it travels
265 miles against the current, what is the speed of the current?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
time=distance%2Frate
So when time is the same:
(c=rate of current)
325mi%2F%2859mph%2Bc%29=265mi%2F%2859mph-c%29 Cross multiply
%28325mi%29%2859mph-c%29=%28265mi%29%2859mph%2Bc%29
19175mi%5E2%2Fhr%29-%28325cmi%29=%2815635mi%5E2%2Fhr%29%2B%28265cmi%29 Subtract 15635mi^2/hr from each side
%283540mi%5E2%2Fhr%29-%28325cmi%29=265cmi Add 325cmi to each side.
3540mi%5E2%2Fhr=590cmi Divide each side by 590mi
6mi%2Fhr=c ANSWER: The rate of the current is 6 mph.