Jared can pack a goodie bag in 15 seconds. Sara can pack a goodie bag in 10 seconds. At a function, they must pack 320 goodie bags. How long would they take if they worked together?

Sure, let's solve this step by step:

Step 1: Find out how many goodie bags each person can pack in one second.

Jared can pack 1 goodie bag in 15 seconds, so he can pack 1/15 of a goodie bag in one second.

Sara can pack 1 goodie bag in 10 seconds, so she can pack 1/10 of a goodie bag in one second.

Step 2: Add up how many goodie bags they can pack together in one second.

If you add 1/15 and 1/10 together, you get 1/6. This means that together, they can pack 1/6 of a goodie bag in one second.

Step 3: Find out how long it would take them to pack 320 goodie bags.

If they can pack 1/6 of a goodie bag in one second, then they can pack 6 goodie bags in 6 seconds.

To find out how long it would take them to pack 320 goodie bags, you would divide 320 by 6.

320 divided by 6 is approximately 53.33 seconds.

So, it would take Jared and Sara approximately 53.33 seconds to pack 320 goodie bags if they worked together.