SOLUTION: Two men can paint a fence in X hours and (X + 1) hours respectively. Find the time it will take the two men to paint the fence together.
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Question 782705: Two men can paint a fence in X hours and (X + 1) hours respectively. Find the time it will take the two men to paint the fence together.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two men can paint a fence in X hours and (X + 1) hours respectively. Find the time it will take the two men to paint the fence together.
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1st man rate:: 1/x job/hr
2nd man rate:: 1/(x+1) job/hr
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Together rate: 1/k job/hr
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Equation:
rate + rate = together rate
1/x + 1/(x+1) = 1/k
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k(x+1) + k(x) = x(x+1)
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k[x+1+x] = x^2+x
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k = (x^2+x)/(2x+1) hrs (time to do the job together)
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Cheers,
Stan H.
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