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Joe and Bob manufacture bikes. Joe can make 12 bikes in 8 hours while Bob can make 12 bikes in 6 hours. Working together how many hours will it take them to make 12 bikes?

Please explain showing steps so I can learn it. I don't just need the answer. Thanks!
PS I originally typed the question wrong now it's correct.

  • math -

    joe's rate = 12 bikes/8 hrs or 1.5 bikes/hr
    bob's rate = 12 miles/6 hrs or 2 bikes/hr

    combined rate = 3.5 bikes/hr
    time for 12 bikes = 12/(3.5) hrs = 3.42 hrs
    or appr. 3 hrs and 26 minutes

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