SOLUTION: 1.four men can paint a house in 24 days.the owner wants the painting job to be finished in 12 days. how many should he hire? 2.if 12 men can do the job in eight days. how long i

Algebra ->  Rate-of-work-word-problems -> SOLUTION: 1.four men can paint a house in 24 days.the owner wants the painting job to be finished in 12 days. how many should he hire? 2.if 12 men can do the job in eight days. how long i      Log On


   



Question 1021397: 1.four men can paint a house in 24 days.the owner wants the painting job to be finished in 12 days. how many should he hire?
2.if 12 men can do the job in eight days. how long it take 16 men to do the same job?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1.four men can paint a house in 24 days.the owner wants the painting job to be finished in 12 days. how many should he hire?
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# of men is inversely related to # of days
m = k/d
Solve for "k"::
4 = k/24
k = 96
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Equation::
m = 96/12 = 8 men
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2.if 12 men can do the job in eight days. how long it take 16 men to do the same job?
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12 = k/8
k = 96
Equation:
m = 96/d
16 = 96/d
d = 96/16
d = 6 days
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Cheers,
Stan H.
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