SOLUTION: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?

Question 61767: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
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Sally DATA:
Time = 4 hrs/job ; Rate = 1/4 job/hr.
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John DATA:
Time = 6 hrs/job ; Rate = 1/6 job/hr.
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Together DATA:
Time= x hrs/job ; Rate = 1/x job/hr.
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EQUATION:
rate + rate = rate together
1/4 + 1/6 = 1/x
(10/24)=1/x
Invert both sides to get:
x=24/10= 2.4 hours for them to do the job together.
Cheers,
Stan H.
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