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 +(40)/(60)=7.66666666667\min`

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

`(24)/((7+(40)/(60)))=3.13043478261`

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

`(1)/(3.13043478261)(\min)/(cont)=0.319444444444(\min)/(cont)`

We can convert this time in seconds as follows:

`0.319444444444(\min)/(cont)\cdot60(sec)/(\min)=19.1666666667(sec)/(cont)`

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

`0.319444444444(\min)/(cont)`

Or equivalently:

19.16667 sec per container.