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Working together, Philip and Brian swept the porch in six minutes. When Philip swept the porch by himself, he took eighteen minutes. Assuming each person sweeps at a constant rate, how long, in minutes, does it take Brian to sweep the porch by himself?

 Mar 28, 2019
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Philip = P

Brian = B

 

1/P + 1/B =1 / 6

1/18 + 1/B = 1 / 6

1/B = 1 / 6 - 1 / 18

B = 9 - minutes for Brian to aweep the porch.

 Mar 28, 2019

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