SOLUTION: Arthur can edit 15 essays in 10 h. Debra needs 15 h to do the same job. If they work together, how long will it take them to edit the essays?

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Question 393361: Arthur can edit 15 essays in 10 h. Debra needs 15 h to do the same job. If they work together, how long will it take them to edit the essays?
Answer by stanbon(75887) (Show Source):
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Arthur can edit 15 essays in 10 h. Debra needs 15 h to do the same job. If they work together, how long will it take them to edit the essays?
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Arthur DATA:
time = 10 hr/job ; rate = 1/10 job/hr
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Debra DATA:
time = 15 hr/job ; rate = 1/15 job/hr
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Together DATA:
time = x hr/job ; rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/10 + 1/15 = 1/x
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Multiply thru by 30x to get:
3x + 2x = 30
5x = 30
x = 6 hrs (amt. of time needed for them to do the job together)
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Cheers,
Stan H.
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