SOLUTION: Janet can shovel snow from her driveway in 45 minutes. Bill can do the same job in 35 minutes. How long would it take Janet and Bill to shovel the driveway if they worked together?

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Question 387543: Janet can shovel snow from her driveway in 45 minutes. Bill can do the same job in 35 minutes. How long would it take Janet and Bill to shovel the driveway if they worked together? ___ minutes.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Janet can shovel snow from her driveway in 45 minutes. Bill can do the same job in 35 minutes. How long would it take Janet and Bill to shovel the driveway if they worked together? ___ minutes.
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Janet rate = 1/45 job/min
Bill rate = 1/35 job/min
Together rate = 1/x job/min
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Equation:
rate + rate = together rate
1/45 + 1/35 = 1/x
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35x + 45x = 35*45
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80x = 35*45
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x = (35*45)/80
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x = 19.69 minutes (time to do the job together)
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Cheers,
Stan H.