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Question 557116: Ramil can paint a fence in 4 hours, while Dino can do it in 5 hours. If they work together, what part of the fence can they paint in one hour? How long will it take them to finish painting the fence if they work together?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Ramil can paint a fence in 4 hours, while Dino can do it in 5 hours. If they work together, what part of the fence can they paint in one hour? How long will it take them to finish painting the fence if they work together?
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Ramil rate: 1/4 job/hr
Dino rate: 1/5 job/hr
together rate: 1/x job/hr
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Equation:
rate + rate = together rate
1/4 + 1/5 = 1/x
5x + 4x = 20
9x = 20
Together rate: 1/x = 9/20 job/hr
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Time to finish the job (11/20 th of the job)
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Let "x" be amount of time to finish the job together.
x(20/9) = 21/20
x = 21/9 hrs = 2 1/3 hrs
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Cheers,
Stan H.
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