SOLUTION: A Mississippi riverboat travels 24 miles downstream in three hours and then makes the return trip upstream in six hours. Find the speed of the riverboat in still water and the spee

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Question 821431: A Mississippi riverboat travels 24 miles downstream in three hours and then makes the return trip upstream in six hours. Find the speed of the riverboat in still water and the speed of the current.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A Mississippi riverboat travels 24 miles downstream in three hours and then makes the return trip upstream in six hours. Find the speed of the riverboat in still water and the speed of the current.
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down rate = 24/3 = 8 mph
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up rate = 24/6 = 4 mph
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Equations:
b + c = 8
b - c = 4
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Add and solve for b(boat speed)
2b = 12
b = 6 mph (boat speed in still water)
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Solve for c (current):
b + c = 8
6 + c = 8
c = 2 mph (current speed)
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Cheers,
Stan H.
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