SOLUTION: If 9 workers can complete 12 chairs in 3 days,how long will it take 4 workers to complete 15 similar chairs?
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-> SOLUTION: If 9 workers can complete 12 chairs in 3 days,how long will it take 4 workers to complete 15 similar chairs?
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Question 1062712: If 9 workers can complete 12 chairs in 3 days,how long will it take 4 workers to complete 15 similar chairs? Found 2 solutions by math_helper, ankor@dixie-net.com:Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website! In 3 days, each worker completes 12/9 = 4/3 chairs.
Let's normalize that to "per day": (4/3)/3 = (4/9) chairs/worker per day = (4/9) chairs/worker/day.
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Now we have the rate of work for each worker and can solve the 2nd part of the problem. The key is to recognize that the solution will be (amount of work) / (rate at which work is completed). The 4/9 we found above is the rate. Carrying the units along helps keep everything straight:
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4 workers working on 15 chairs will take:
(15 chairs/4 workers) / [ (4/9) chairs/worker/day ] = 8.4375 days
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(chairs/worker cancel, and the 1/day ("per-day") comes up to the numerator after "invert and multiply" )
You can put this solution on YOUR website! If 9 workers can complete 12 chairs in 3 days, how long will it take 4 workers to complete 15 similar chairs?
:
Find how many man-days required for 12 chairs
9 * 3 = 27 man-days
Find how many man-days for each chair = days per chair
"how long will it take 4 workers to complete 15 similar chairs?"
let d = no. of man-days required to do this
4d = 15*
4d =
d = *
d = = 8.3475 days
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