Middle School

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There are 480 dishes that need to be rinsed. Juan can rinse them in 80 minutes by himself. It will his friend Kevin 120 minutes to rinse these dishes. How long will it take them if they rinse these 480 dishes together ?

There are 480 dishes that need to be rinsed Juan can rinse them in 80 minutes by himself It will his friend Kevin 120 minutes

Answer :

Final answer:

Using rates, we find that Juan can rinse 6 dishes per minute, Kevin can rinse 4 dishes per minute. Together, they can rinse 10 dishes per minute and it would take them 48 minutes to rinse 480 dishes.

Explanation:

To find out how long it would take Juan and Kevin to rinse 480 dishes together, we can use the concept of rates. Juan can rinse 480 dishes in 80 minutes, so his rate is 480 dishes/80 minutes = 6 dishes per minute. Kevin, on the other hand, can rinse 480 dishes in 120 minutes; his rate is 480 dishes/120 minutes = 4 dishes per minute.

When they work together, their rates add up. So, together they can rinse 6 + 4 = 10 dishes per minute. Therefore, to rinse 480 dishes, it would take them 480 dishes/10 dishes per minute = 48 minutes.

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Rewritten by : Barada

Answer:

48 minutes.

Step-by-step explanation:

Number of dishes rinsed by Juan in 1 minute

= 480/80

= 6

Number of dishes rinsed by Kevin in 1 minute

= 480/120

= 4

Number of dishes rinsed by Juan and Kevin in 1 minute

= 6 + 4

= 10

Hence, time taken by Juan and Kevin to rinse the dishes

= 480/10

= 48 minutes.

Hence It will take 48 minutes for them to rinse the dishes.