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Feb 12 2018 05:28pm
mark and rachel work for smith comp. mark can finish a job in 4 hours while it takes rachel 3 for same job. if mark and rachel work together and smith comp. charges 40 dollars per hour for a two person crew, then how much will smith comp. charge for the job?

unrealistic that a women finishes the job earlier than the man but solve anyway

100 fg for all the work included

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Feb 12 2018 05:42pm
Mark can do (1/4) of the job in an hour.
Rachel can do (1/3) of the job in an hour.

In one hour working together, Mark and Rachel can do (1/3) + (1/4) = (4/12) + (3/12) = (7/12) of the job in an hour.

(7/12) job per hour * x hours = 1 full job

x = 12/7 hours

$40/hr * (12/7) hr = $68.57
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Feb 12 2018 06:03pm
Quote (RzChaos @ Feb 12 2018 06:42pm)
Mark can do (1/4) of the job in an hour.
Rachel can do (1/3) of the job in an hour.

In one hour working together, Mark and Rachel can do (1/3) + (1/4) = (4/12) + (3/12) = (7/12) of the job in an hour.

(7/12) job per hour * x hours = 1 full job

x = 12/7 hours

$40/hr * (12/7) hr = $68.57


thanks
Mar 20 2018 07:23am
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Mar 20 2018 10:23pm
2+2-1=3

quick maffs
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