SOLUTION: janet can shovel snow in 55 mins. Tom can shovel snow in 40 mins. How long would it take them to shovel snow if they worked together?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: janet can shovel snow in 55 mins. Tom can shovel snow in 40 mins. How long would it take them to shovel snow if they worked together?      Log On


   



Question 560216: janet can shovel snow in 55 mins. Tom can shovel snow in 40 mins. How long would it take them to shovel snow if they worked together?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
janet can shovel snow in 55 mins. Tom can shovel snow in 40 mins. How long would it take them to shovel snow if they worked together?
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Janet rate = 1/55 job/min
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Tom rate = 1/40 job/min
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Together rate = 1/x job/min
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Equation:
rate + rate = together rate
1/55 + 1/40 = 1/x
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40x + 55x = 40*55
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95x = 40*55
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x = (11/19)40
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x = 23.1579 minutes
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x = 23 min 9.47 seconds
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Cheers,
Stan H.
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