SOLUTION: A boat traveled 208 miles downstream and back. The trip downstream took 8 hours. The trip back took 26 hours. What is the speed of the boat in still water? What is the speed of
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Question 353675: A boat traveled 208 miles downstream and back. The trip downstream took 8 hours. The trip back took 26 hours. What is the speed of the boat in still water? What is the speed of the current?
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Rate*Time=Distance
.
.
.
Let the boat speed in still water be B, the current speed C.
Downstream:
1.
.
.
.
Upstream:
2.
.
.
.
Add eq. 1 and eq. 2,
mph
Then use either equation to solve for .
mph
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A boat traveled 208 miles downstream and back. The trip downstream took 8 hours. The trip back took 26 hours.
------------------------
Downstream DATA:
time = 8 hrs ; distance = 208 miles ; rate = 208/8 = 26 mph
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Upstream DATA:
time = 26 hrs ; distance = 208 mils ; rate = 208/26 = 8 mph
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What is the speed of the boat in still water?
What is the speed of the current?
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Equations:
Downstream Rate: b + c = 26
Upstream Rate::: b - c = 8
----------------------------------
Add to get:
2b = 34
b = 17 mph (speed of the boat in still water)
Since b+c = 26, c = 9 mph (speed of the current)
-----------------------------
Cheers,
Stan H.
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