Question

Jada eats 2 scoops of ice cream in 5 minutes. Noah eats 3 scoops of ice cream in 5 minutes. How long does it take them to eat one scoop working together ( if they continue eating ice cream at the same rate they do individually)?

Answer 1

`(5)/(6)` minutes

Explanation:

Let's find unit rate of each.

Jada

2 scoop in 5 minutes

So,

1 scoop in 5/2 = 2.5 minutes

Noah

3 scoop in 5 minutes

So,

1 scoop in 5/3 = 1.25 minutes

These are the times. Time and rate are inverses of each other. So the rates of each is:

Jada = 1/2.5 = 0.4

Noah = 1/1.25 = 0.8

Working together, we add the rates and find the time:

(0.4+0.8)*t = 1

1.2t = 1

t = 1/1.2 =
`(5)/(6)` minutes

So, they take
`(5)/(6)` minutes to eat one scoop, working together