SOLUTION: If Sally can paint a hous3e in 4 hours, and john can paint the same house in 6 hours, how long will it take for both of then to paint the same house

Question 302109: If Sally can paint a hous3e in 4 hours, and john can paint the same house in 6 hours, how long will it take for both of then to paint the same house
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If Sally can paint a hous3e in 4 hours, and john can paint the same house in 6 hours, how long will it take for both of then to paint the same house
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Sally's rate: 1/4 house/hr
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John's rate: 1/6 house/hr
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Together rate: 1/x house/hr
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Equation:
rate + rate = together rate
1/4 + 1/6 = 1/x
Multiply thru by 12x to get:
3x + 2x = 12
5x = 12
x = 2.4 hrs (time for both to paint the house when working together)
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Cheers,
Stan H.
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