SOLUTION: Sue rowed her boat across and back Lake Gaston in 3 Hours. If her rate rowing back was 2 miles per hour less than the rate rowing across, and if the distance each way 4 miles, find

Question 816057: Sue rowed her boat across and back Lake Gaston in 3 Hours. If her rate rowing back was 2 miles per hour less than the rate rowing across, and if the distance each way 4 miles, find her rate rowing across. (You must show the equation, all solving steps, and state your final answer with appropriate units.)
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
speed:
s = D / t
b = a - 2
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average speed:
(a + b)/2 = 8/3
b = 16/3 - a
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b = a - 2
b = 16/3 - a
---
b = b
a - 2 = 16/3 - a
2a = 16/3 + 6/3
2a = 22/3
a = 11/3
a = 3.666666 mph
b = 1.666666 mph
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Answer:
her rate rowing across is: 3.7 mph
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