SOLUTION: at full speed, a motor boat can travel 32 miles upstream in 8 hours, but it can travle the same distance downstram in 4 hours. What is the rate of the current in miles per hour.

Question 385552: at full speed, a motor boat can travel 32 miles upstream in 8 hours, but it can travle the same distance downstram in 4 hours. What is the rate of the current in miles per hour.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
At full speed, a motor boat can travel 32 miles upstream in 8 hours, but it can travel the same distance downstram in 4 hours. What is the rate of the current in miles per hr.
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Upstream DATA:
distance = 32 miles; time = 8 hrs ; rate = 32/8 = 4 mph
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Downstream DATA:
distance = 32 miles ; time = 4 hrs ; rate = 32/4 8 mph
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Equation:
Let boat speed = b
Let current speed = c
---
b-c = 4
b+c = 8
---
2b = 12
b = 6 mph (speed of the boat in still water)\
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Since b + c = 8, c = 2 mph
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cheers,
Stan H.
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