SOLUTION: AZra can do a job in 4 hoursthat halycycon can do in 3 hours and silfer can do in 2 hours. If the three can work together, how many hours would they finish the job?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: AZra can do a job in 4 hoursthat halycycon can do in 3 hours and silfer can do in 2 hours. If the three can work together, how many hours would they finish the job?      Log On

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Question 1027995: AZra can do a job in 4 hoursthat halycycon can do in 3 hours and silfer can do in 2 hours. If the three can work together, how many hours would they finish the job?
Answer by ikleyn(52802) About Me  (Show Source):
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AZra can do a job in 4 hoursthat halycycon can do in 3 hours and silfer can do in 2 hours. If the three can work together, how many hours would they finish the job?
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Azra makes 1%2F4 of the job per hour.

Halycycon makes 1%2F3 of the job per hour.

Silfer makes 1%2F2 of the job per hour.

Working together they make 1%2F4+%2B+1%2F3+%2B+1%2F2 = 3%2F12+%2B+4%2F12+%2B+6%2F12 = %283%2B4%2B6%29%2F12 = 13%2F12 of the job per hour.

Hence, the three can make the job in 12%2F13 of an hour working together.

See the lesson Using fractions to solve word problems on joint work in this site for the variety of solved joint-work problems.