Answer :
Answer:
It takes one minute for both of them to eat one scoop.
Step-by-step explanation:
How long does it take them to eat 1 scoop of ice cream working together?
Jada: 2/5 = 0.4 per minute
Noah: 3/5 = 0.6 per minute
0.4+0.6 = 1 scoop per minute
How long does it take for Noah to eat his 3 scoops of ice cream in 5 minutes?
5 minutes???
Jada and Noah can eat 1 scoop of ice cream in 2 minutes when working together, with Jada's individual rate being 1 scoop in 2.5 minutes and Noah's at 1 scoop in 1.67 minutes.
The question involves calculating how long it takes Jada and Noah to eat ice cream together at their individual rates. Jada can eat 2 scoops in 5 minutes, which means she eats 1 scoop in 2.5 minutes (rate of Jada). Noah can eat 3 scoops in 5 minutes, which corresponds to 1 scoop in 1.67 minutes (rate of Noah). To find the combined rate when they are eating together, we take the reciprocal of their individual rates and sum them.
- Jada's rate: 1 scoop / 2.5 min
- Noah's rate: 1 scoop / 1.67 min
We can sum these rates to find the combined rate:
(1 scoop / 2.5 min) + (1 scoop / 1.67 min) = (1+1.5) scoops / 5 min = 2.5 scoops / 5 min
So when working together, their combined rate is 2.5 scoops every 5 minutes. To find the time taken for 1 scoop, we divide the time by the number of scoops:
5 min / 2.5 scoops = 2 minutes
Therefore, it would take them 2 minutes to eat 1 scoop of ice cream working together.
