SOLUTION: Six carpenters can build 6 doghouses in 6 days. How many days will it take 3 carpenters to build 2 doghouses?
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Question 703136: Six carpenters can build 6 doghouses in 6 days. How many days will it take 3 carpenters to build 2 doghouses? Found 3 solutions by Edwin McCravy, stanbon, AnlytcPhil:Answer by Edwin McCravy(20054) (Show Source):
You can put this solution on YOUR website! Six carpenters can build 6 doghouses in 6 days. How many days will it take 3 carpenters to build 2 doghouses?
Six carpenters can build 6 doghouses in 6 days.
Therefore 3 (half as many) carpenters would take 12 (twice as many)
days to build those 6 doghouses. To build 2 doghouses (one-third as many)
would only take them 4 days (one third of 12 days).
Edwin
You can put this solution on YOUR website! Six carpenters can build 6 doghouses in 6 days. How many days will it take 3 carpenters to build 2 doghouses?
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# of days is directly related to # of houses and indirectly related
to # of carpenters.
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d = k*h/c
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Solve for k using "Six carpenters can build 6 doghouses in 6 days".
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6 = k*6/6
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k = 6
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Equation:
d = 6*h/c
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How many days will it take 3 carpenters to build 2 doghouses?
d = 6*2/3
d = 4
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Ans: # of days needed is 4
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Cheers,
Stan H.
Here's another way to do it.
Use the worker-time-job formula, which is:
where
W1 = the number of workers in the first situation.
T1 = the number of time units (days in this case) in the first situation.
J1 = the number of jobs in the first situation.
W2 = the number of workers in the second situation.
T2 = the number of time units (days in this case) in the second situation.
J2 = the number of jobs in the second situation.
W1 = 6 W2 = 3
T1 = 6 T2 = the unknown quantity
J1 = 6 J2 = 2
reduces to
Multiply through by 2
Divide both sides by 3
4 = T2
Answer: 4 hrs.
Edwin
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