SOLUTION: A motorboat travels
306km
in
6
hours going upstream. It travels
414km
going downstream in the same amount of time. What is the rate of the boat in still water and what
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-> SOLUTION: A motorboat travels
306km
in
6
hours going upstream. It travels
414km
going downstream in the same amount of time. What is the rate of the boat in still water and what
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Question 1010601: A motorboat travels
306km
in
6
hours going upstream. It travels
414km
going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
You can put this solution on YOUR website! A motorboat travels 306km in 6 hours going upstream.
It travels 414 km going downstream in the same amount of time.
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What is the rate of the boat in still water and what is the rate of the current?
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Upstream DATA:
distance = 306 km ; time = 6 hrs ; rate = d/t = 306/6 = 51 km/hr
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Downstream DATA:
distance = 414 km ; time = 6 hrs ; rate = d/t = 414/6 = 69 km/hr
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Equation:
b - c = 51 km/hr
b + c = 69 km/hr
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Add to solve for "b"::
2b = 120
boat speed = 60 km/hr
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Solve for "c"::
b + c = 69
60 + c = 69
current speed = 9 km/hr
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Cheers,
Stan H.
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