SOLUTION: It take Amy 12 minutes to sweep a porch. Arjun can sweep the same porch in 13 minutes. If they worked together how long would it take them?

Question 715478: It take Amy 12 minutes to sweep a porch. Arjun can sweep the same porch in 13 minutes. If they worked together how long would it take them?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It take Amy 12 minutes to sweep a porch. Arjun can sweep the same porch in 13 minutes. If they worked together how long would it take them?
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Amy rate: 1/12 job/min
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Arjun rate: 1/13 job/min
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Together rate: 1/x job/min
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Equation:
1/12 + 1/13 = 1/x
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13x + 12x = 12*13
25x = 156
x = 6.24 minutes = 6 min 14.4 seconds (time to do the job together)
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Cheers,
Stan H.
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