SOLUTION: a small motorboat travels 10mph in still water it takes 3 hours longer to travel 68 miles going upsteam than it does going downstream. find the rate of the current
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Question 813685: a small motorboat travels 10mph in still water it takes 3 hours longer to travel 68 miles going upsteam than it does going downstream. find the rate of the current Found 2 solutions by richwmiller, josmiceli:Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! Let = the rate of the current in mi/hr = speed of the boat going downstream = speed of the boat going upstream
Let = time in hrs for going downstream
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Equation for going upstream:
(1)
Equation for going downstream:
(2)
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(1)
(1)
(1)
(1)
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By substitution:
(2)
(2)
(2)
(2)
Use the quadratic formula ( note: C and not c is the solution )
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The rate of the current is 2.108 mi/hr
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check:
(2)
(2)
(2)
(2) hrs
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(1)
(1)
(2)
(2)
pretty close
Hope I got it
