SOLUTION: Working together,Mike and Seth can sweep a porch in 6.46 minutes . Had he done it alone it would have taken Seth 12 minutes. How long would it take Mike to do it alone?

Question 824864: Working together,Mike and Seth can sweep a porch in 6.46 minutes . Had he done it alone it would have taken Seth 12 minutes. How long would it take Mike to do it alone?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
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m = mike's rate
s = seth's rate
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m + s = 1/6.46
s = 1/12
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m + s = 1/6.46
m + 1/12 = 1/6.46
m = 1/6.46 - 1/12
m = 12/(6.46*12) - 6.46/(6.46*12)
m = 5.54/77.52
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time = 1/rate
---
mike's time:
t = 1/m
t = 77.52/5.54
t = 14 minutes
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