SOLUTION: It takes 2 hours for 7 cooks to make the dinner for a wedding party. How long would it take 3 cooks to do the same thing?

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Question 849600: It takes 2 hours for 7 cooks to make the dinner for a wedding party. How long would it take 3 cooks to do the same thing?
Found 2 solutions by josgarithmetic, ewatrrr:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Find the one-cook rate. Seven cooks do the job in 2 hours, so only one cook needs 7 times longer; or 2%2A7=14 hours.

r*t=j for rate, time, job.
One cook, 1/14 jobs per hour.
Three cooks, 3/14 jobs per hour.
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Let t = time in hours to do this one job.
highlight_green%28%283%2F14%29t=1%29

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

It takes 2 hours for 7 cooks 

Let x represent How long would it take 3 cooks

7%2A2hr+=+3x

    x = 14/3 hr   0r  4 2⁄3 hrs