SOLUTION: Speed of a Boat. A boat travels 26 miles up a river in the same amount of time it takes to travel 34 miles down the same river. If the current is 2 mph, what is the speed of the
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-> SOLUTION: Speed of a Boat. A boat travels 26 miles up a river in the same amount of time it takes to travel 34 miles down the same river. If the current is 2 mph, what is the speed of the
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Question 54318: Speed of a Boat. A boat travels 26 miles up a river in the same amount of time it takes to travel 34 miles down the same river. If the current is 2 mph, what is the speed of the boat in still water? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Speed of a Boat. A boat travels 26 miles up a river in the same amount of time it takes to travel 34 miles down the same river. If the current is 2 mph, what is the speed of the boat in still water?
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Let the speed of the boat be "s".
Upstream DATA:
distance=26 miles ; rate = s-2 mph ; time= d/r = 26/(s-2) hrs.
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Downstream DATA:
distance = 34 miles; rate = s+2 mph ; time = d/r = 34/(s+2) hrs.
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EQUATION:
time up = time down
34/(s+2) = 26/(s-2)
34(s-2)=26(s+2)
34s-68 = 26s+52
8s = 120
s= 15 mph
Speed of the boat in still water is 15 mph
Cheers,
Stan H.
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