Question 40607: it takes 4 hours for 9 cooks to prepare a school lunch. How long would it take 6 cooks to prepare the lunch?
it would take 6 cooks _____hours.
is it 2.66?
Found 2 solutions by AnlytcPhil, stanbon:
Answer by AnlytcPhil(1806)   (Show Source):
You can put this solution on YOUR website! it takes 4 hours for 9 cooks to prepare a school
lunch. How long would it take 6 cooks to prepare the lunch?
it would take 6 cooks _____hours.
is it 2.66?
Of course not! Think about that answer, 2.66 hours! It takes 9 cooks 4
hours, so how could it take less time for 6 cooks than it took for 9
cooks?
It would obviously take fewer cooks MORE time than 4 hours, not less time!
You should learn this rule:
The first check you should always make on your answer to any problem
is to determine whether the answer makes any sense! 2.66 does not.
Anyway, let x be the number of hours required.
>>...it takes 4 hours for 9 cooks to prepare a school lunch...<<
So, in one hour 9 cooks can prepare 1/4 of a school lunch
So, in one hour 1 cook can prepare 1/9th of 1/4, or 1/36th of a school
lunch.
So, in x hours 1 cook can prepare x/36ths of a school lunch.
So, in x hours 6 cooks can prepare 6x/36ths of a school lunch.
That reduces to x/6ths of a school lunch
So, x/6's of a school lunch must total 1 school lunch.
Therefore x/6 = 1 or x = 6 hours.
Edwin
AnlytcPhil@aol.com
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! it takes 4 hours for 9 cooks to prepare a school lunch. How long would it take 6 cooks to prepare the lunch?
9 cooks = 1 lunch/4hr.
Multiply thru by 6/9 to get 6 cooks on the left side, as follows:
(6/9)9 cooks = (6/9)(1lunch)/4hr.
Rearrange the right side to get:
6 cooks = (1 lunch)/ [4hr.*(9/6)]
6 cooks = 1 lunch/ [4hr*(3/2)]
6 cooks = 1 lunch/ 6 hr.
Cheers,
Stan H.
|
|
|
