<PRE><B>Question 1115357</B>
Andrew can paint the&amp;#8203; neighbor&#39;s house 4 times as fast as Bailey. The year Andrew and Bailey worked&amp;#8203; together, it took them 9 days. how long would it take andrew? 
How long would it take bailey? 
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Bailey time = 4x days/job ; rate = 1/(4x) job/days
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Andrew time = x days/job ; rate = 1/x job/days
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Together time = 9 days/job ; rate = 1/9 job/day
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Equation:
rate + rate = together rate
1/(4x) + 1/x = 1/9
Multiply thru by 36x to get:
9 + 36 = 4x
4x = 45
x = 45/4
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Ans: Bailey time = 4(45/4) = 45 days
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Cheers,
Stan H.
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