SOLUTION: 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

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 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       Log On


   



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 .
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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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