SOLUTION: sally paints a fence in 6 hours sally and alex paint it in four hours, if alex paints it by himself how long would it take

Question 142547: sally paints a fence in 6 hours sally and alex paint it in four hours, if alex paints it by himself how long would it take
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
sally paints a fence in 6 hours sally and alex paint it in four hours, if alex paints it by himself how long would it take
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Sally Data:
time = 6 hrs/job ; rate = 1/6 job/hr
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Together Data:
time = 4 hrs/job ; rate = 1/4 job/hr
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Alex DATA:
time = x hrs/job ; rate = 1/x job/hr
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EQUATION:
rate + rate = together rate
1/6 + 1/x = 1/4
Multiply thru by 12x to get:
2x + 12 = 3x
x = 12 hrs (time for Alex to do the job alone)
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Cheers,
Stan H.

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