# Noam can make Pizza Palace's Famous Giant pizza in 12 minutes. Roni can make the same pizza in 8...

## Question:

Noam can make Pizza Palace's Famous Giant pizza in 12 minutes. Roni can make the same pizza in 8 minutes.

a) How long will it take them to make the pizza working together?

Management decides that working in pairs is more productive. They would like each pair of employees to average making 1 pizza every 4 minutes. Noam has improved his time making 1 pizza to 10 minutes.

b) How fast must Roni make a pizza in order for them to reach the goal as a pair?

## Working Times

The time to do a job how long that the person takes to finish a job. Therefore it is said that a person can do a job in a certain time when it becomes habitual to finish it in that period. When you already know your time, you can compare it to another person doing the same job and if you notice that both people can complete the same job in different times, the times can be related to each other to know how long they can do the job together.

The equation to relate the times in which two or more people can do a job if they do it together is the following {eq}\frac{1}{t_1}+ \frac{1}{t_2}= \frac{1}{T} {/eq} where each time corresponds to the period that the person is capable of doing the job and T is the time to complete the job together. Then, to find one of the unknown times, say T, for example, we can clear of fractions to arrive at {eq}T=\frac{t_{1}\times t_{2}}{t_{1}+t_{2}} {/eq}.

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A) How long will it take them to make the pizza working together?

Noam's time to make a pizza: {eq}12\text{min} {/eq}

Roni's time to make a pizza:...