Question

A restaurant manager has developed time guidelines for his kitten staff. One such guideline requires a food prep worker to prepare 24 containers of granola in 7 min 40 sec or less. What is the maximum time allowed per container? ( Round down to the nearest second.)

Answer 1

To answer this question, we have the following situation:

We need to have the time in minutes as follows:

$7\min +\frac{40}{60}=7.66666666667\min$

Now, we have that the unit rate for preparing 24 containers at 7.66666...minutes is:

$\frac{24}{(7+\frac{40}{60})}=3.13043478261$

That is 3.1304...containers per minute. If we inverse this rate, we obtain:

$\frac{1}{3.13043478261}\frac{\min}{cont}=0.319444444444\frac{\min}{cont}$

We can convert this time in seconds as follows:

$0.319444444444\frac{\min}{cont}\cdot60\frac{sec}{\min}=19.1666666667\frac{sec}{cont}$

Then, in seconds, we have that the maximum time per container is about:

$0.319444444444\frac{\min}{cont}$

Or equivalently:

19.16667 sec per container.