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It takes a team of five chefs forty minutes to prepare a three course meal for an international competition.If they increased the number of team members by three, and work at the same rate, how long would it take the chefs to prepare the same meal?

Question

It takes a team of five chefs forty minutes to prepare a three course meal for an international competition.If they increased the number of team members by three, and work at the same rate, how long would it take the chefs to prepare the same meal?

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Solution

To solve this problem, we need to understand that the time taken to prepare the meal is inversely proportional to the number of chefs. This is because more chefs can do more work in the same amount of time.

Step 1: Find the total work done by 5 chefs in 40 minutes. This is simply 5 chefs * 40 minutes = 200 chef-minutes. This is a measure of the total effort that goes into preparing the meal.

Step 2: Find out how much work each chef does per minute. This is 200 chef-minutes / 5 chefs = 40 chef-minutes per chef.

Step 3: Now, if the number of chefs is increased by 3, the team size becomes 5 + 3 = 8 chefs.

Step 4: To find out how long it would take the 8 chefs to prepare the meal, we divide the total work by the number of chefs. This is 200 chef-minutes / 8 chefs = 25 minutes.

So, it would take the team of 8 chefs 25 minutes to prepare the meal if they work at the same rate.

This problem has been solved

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