SOLUTION: By checking work records, a carpenter finds that Jane can build a small shed in 12 hours. Antoine can do the same job in 16 hours. How long would it take if they worked together?

Question 1068121: By checking work records, a carpenter finds that Jane can build a small shed in 12 hours. Antoine can do the same job in 16 hours. How long would it take if they worked together?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
By checking work records, a carpenter finds that Jane can build a small shed in 12 hours. Antoine can do the same job in 16 hours. How long would it take if they worked together?
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Let "together" time be x hr/job
Invert that to get rate = (1/x) job/hr
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Equation:
rate + rate = together rate
1/12 + 1/16 = 1/x
16x + 12x = 12*16
28x = 192
x = 6.86 hrs = 6hrs 51 min 36 sec
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Cheers,
Stan H.
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