Question 986007
Mike,mark and matt can individually build a house in 12 ,16 and 24 days repectively. if mark starts building the house and received help from mike and matt every second day in how many days will they finish building the house .
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Mike rate:: 1/12 job/hr
Mark rate:: 1/16 job/hr
Matt rate:: 1/24 job/hr
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Equation:
x(1/16) + (x/2)(1/12+1/24) = 1 job
(x/16) + (x/2)(1/8) = 1 job
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Multiply thru by 16 you get::
x + x = 16
x = 8
Ans:: 8 days to finish the job

Cheers,
Stan H.
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