SOLUTION: Andrew can paint the​ neighbor's house 5 times as fast as Bailey. The year Andrew and Bailey worked​ together, it took them 6 days. How long would it take each to paint

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Question 1052073: Andrew can paint the​ neighbor's house 5 times as fast as Bailey. The year Andrew and Bailey worked​ together, it took them 6 days. How long would it take each to paint the​ house?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Andrew can paint the​ neighbor's house 5 times as fast as Bailey. The year Andrew and Bailey worked​ together, it took them 6 days. How long would it take each to paint the​ house?
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Andrew DATA:: time = 5x ; rate = 1/(5x)
Bailey DATA:: time = x ; rate = 1/x
Together DATA: time 6 ; rate = 1/6
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Equation:
rate + rate = together rate
1/(5x) + 1/x = 1/6
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6 + 30 = 5x
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5x = 36 days (Bailey time to do the job)
x = 7.2 days (Andrew's time to do the job)
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Cheers,
Stan H.
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