SOLUTION: Tyrone can paint a kitchen in 7 hours, and Shauna can paint the same kitchen in 6 hours. How long would it take for both working together to paint the kitchen? (you can leave your

Question 530487: Tyrone can paint a kitchen in 7 hours, and Shauna can paint the same kitchen in 6 hours. How long would it take for both working together to paint the kitchen? (you can leave your answer as an improper fraction or a mixed number).
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Add their rates of painting
Tyrone's rate: ( 1 kitchen )/(7 hrs)
Shauna's rate: ( 1 kitchen )/(6 hrs)
Rare together: ( 1 kitchen )/(t hrs)

Multiply both sides by

hrs
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Tyrone can paint a kitchen in 7 hours, and Shauna can paint the same kitchen in 6 hours. How long would it take for both working together to paint the kitchen?
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Ty rate: 1/7 job/hr
Sh rate: 1/6 job/hr
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Together rate: 1/x job/hr
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Equation:
rate + rate = together rate
1/7 + 1/6 = 1/x
Multiply thru by 42x to get:
6x + 7x = 42
13x = 42
x = 42/13 = 3 3/13 hr = 3 hr 14 minutes
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Cheers,
Stan H.