SOLUTION: 16 workers are able to paint 12 cupboards in 6 days. How many days would it take for 12 workers to paint 45 cupboards?
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Question 985130: 16 workers are able to paint 12 cupboards in 6 days. How many days would it take for 12 workers to paint 45 cupboards?
Found 2 solutions by ikleyn, macston:
Answer by ikleyn(53763) (Show Source): You can put this solution on YOUR website!
From the given data, the rate of work for 1 worker per 1 day is = = .
In other words, 1 worker paints of a cupboard per day.
(We assume that all workers have the same rate of work and that all cupboards are identical).
If 12 workers paint 45 cupboards in x days, then their rate of work is .
It the same rate of work as calculated above, i.e. .
Thus you have an equation
= .
Hence, x = = days.
Answer. days.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
((16 workers)(6 days))/12 cupboards=8 worker-days/cupboard
It takes 8 worker-days to paint 1 cupboard.
.
((45 cupboards)(8 worker-days/cupboard))/12 workers=30 days
ANSWER: It will take 12 workers 30 days to paint 45 cupboards.
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