Question

there are 480 dishes that need to be rinsed. ali can rinse them in 120 minutes by himself. it will take his friend dante 80 minutes to rinse these dishes. how long will it take them if they rinse these 480 dishes together?
□ minutes

Explanation:

Step1: Find Ali's rate

Ali can rinse 480 dishes in 120 minutes, so his rate is $\frac{480}{120} = 4$ dishes per minute.

Step2: Find Dante's rate

Dante can rinse 480 dishes in 80 minutes, so his rate is $\frac{480}{80} = 6$ dishes per minute.

Step3: Find combined rate

When working together, their combined rate is $4 + 6 = 10$ dishes per minute.

Step4: Find time to rinse 480 dishes together

Using the formula $time = \frac{work}{rate}$, with work = 480 dishes and rate = 10 dishes per minute, we get $time = \frac{480}{10} = 48$ minutes.

Answer:

48