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1. Jada eats 2 scoops of ice cream in 5 minutes. Noah eats 3 scoops of ice steam in 5 minutes. How long does it take them to eat 1 scoop of ice cream working together (if they continue eating ice cream at the same rate they do individually)?
Answer:
Step-by-step 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