SOLUTION: Ho long will it take 6 workers to complete a task, give that 7 workers can complete the same task in 12 days

Question 414469: Ho long will it take 6 workers to complete a task, give that 7 workers can complete the same task in 12 days
Found 3 solutions by solver91311, Edwin McCravy, stanbon:
Answer by solver91311(16897)   (Show Source):
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If 7 workers can do the task in 12 days, then 1 worker should be able to complete the task in 7 times 12 days. Then 6 workers should be able to complete the task in (7 times 12) divided by 6 days.

John

My calculator said it, I believe it, that settles it

Answer by Edwin McCravy(8909)   (Show Source):
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Ho long will it take 6 workers to complete a task, give that 7 workers can complete the same task in 12 days

Since 7 workers can complete the task in 12 days, it would take one worker 7 times that long, and 7x12 = 84, so it would take one worker 84 days. It will take 6 workers only 1/6 as long as it would take one worker, and 1/6 of 84 is 14. So it will take 6 workers 14 days to complete the task. Edwin

Answer by stanbon(57387)   (Show Source):
You can put this solution on YOUR website!
Ho long will it take 6 workers to complete a task, give that 7 workers can complete the same task in 12 days
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# of workers and time to complete the task are indirectly related.
t = k/# of men
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Solve for "k" using "7 workers can complete the task in 12 days":
12 = k/7
k = 84
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Equation:
t = 84/# of men
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Solve "How long will it take 6 workers to complete the task?"
t = 84/6
time = 14 days
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Cheers,
Stan H.
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