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There are 480 dishes that need to be rinsed. Scott can rinse them in 80 minutes by himself. Dan can rinse them in 120 minutes by himself. How long will it take them to rinse the dishes together?

Answer :

When Scott and Dan work together rinsing dishes, it will take them 48 minutes to rinse all 480 dishes, as they have a combined rate of 10 dishes per minute.

When Scott and Dan work together to rinse dishes, we can calculate the time it will take by determining the rate at which each person can complete the task and then combining their rates.

Scott can rinse 480 dishes in 80 minutes, which means Scott's rate is 480 dishes/80 minutes = 6 dishes/minute. Dan's rate is 480 dishes/120 minutes = 4 dishes/minute.

Together, their combined rate is 6 dishes/minute + 4 dishes/minute = 10 dishes/minute. To rinse all 480 dishes together, we divide the total number of dishes by their combined rate: 480 dishes / 10 dishes/minute = 48 minutes.

Therefore, it will take Scott and Dan a combined total of 48 minutes to rinse all 480 dishes together.

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