SOLUTION:
A motorboat takes 4 hours to travel 320 mi going upstream. The return trip takes hours 2 going downstream. What is the rate of the boat in still water and what is the rate of th
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Question 299982:
A motorboat takes 4 hours to travel 320 mi going upstream. The return trip takes hours 2 going downstream. What is the rate of the boat in still water and what is the rate of the current?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A motorboat takes 4 hours to travel 320 mi going upstream. The return trip takes hours 2 going downstream. What is the rate of the boat in still water and what is the rate of the current?
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Upstream rate: 320/4 = 80 mph
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Downstream DATA:
Your downstream rate is not clear.
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Cheers,
Stan H.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = rate of boat in still water
Let = rate of the current
Write 2 equations, one for upstream and one for downstream
given:
hrs
hrs
mi
-----------
upstream:
(1)
downstream:
(2)
-----------------
(1)
(2)
Add the equations
mi/hr
And, since
(1)
mi/hr
The rate of the boat in still water is120 mi/hr
The rate of the current is 40 mi/hr
check:
(1)
and
(2)
OK
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