SOLUTION: it takes 6hr for 5 cooks to prepare the food for a wedding dinner. How long will it take 9 cooks to prepare the dinner. What kind of variation applies to this situation. Solve the

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Question 560089: it takes 6hr for 5 cooks to prepare the food for a wedding dinner. How long will it take 9 cooks to prepare the dinner. What kind of variation applies to this situation. Solve the problem
Found 2 solutions by josmiceli, Edwin McCravy:
Answer by josmiceli(19441) About Me  (Show Source):
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If 5 cooks take 6 hours, then
1 cook will take 5 times longer, so
1 cook takes 30 hrs to prepare the food
9 cooks will take 1/9 of that time , so
9 cooks will take +30%2F9+=+10%2F3+ hrs
9 cooks will take 3 1/3 hrs or 3 hrs and 20 min
This is an example of inverse variation because
( number of cooks ) = k*( 1/ ( time to prepare dinner )
where k is some constant

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
it takes 6hr for 5 cooks to prepare the food for a wedding dinner. How long will it take 9 cooks to prepare the dinner. What kind of variation applies to this situation. Solve the problem
Inverse variation because the more the cooks the less the time.

(5 cooks)(6 hours) = (9 cooks)(x hours)

                30 = 9x
                30%2F9 = x
                3%261%2F3 = x

3 hours and 20 minutes.

Edwin