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olu’s team had 5 people who can complete the set in 24 days while Sampu’s team had 4 people who can complete the same set in 15 days. If 2 from Golu’s team and 3 from Sampu’s team work together, how long will it take to complete the set?

Question

olu’s team had 5 people who can complete the set in 24 days while Sampu’s team had 4 people who can complete the same set in 15 days. If 2 from Golu’s team and 3 from Sampu’s team work together, how long will it take to complete the set?

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Solution

To solve this problem, we first need to find the rate at which each team works.

  1. Golu's team of 5 people can complete the set in 24 days. Therefore, one person from Golu's team can complete the set in 5 * 24 = 120 days.

  2. Sampu's team of 4 people can complete the set in 15 days. Therefore, one person from Sampu's team can complete the set in 4 * 15 = 60 days.

Now, we know that 2 people from Golu's team and 3 people from Sampu's team are working together.

  1. The combined rate of these 2 people from Golu's team is 2 / 120 = 1/60 sets per day.

  2. The combined rate of these 3 people from Sampu's team is 3 / 60 = 1/20 sets per day.

  3. Therefore, the total rate when these 5 people work together is 1/60 + 1/20 = 1/30 sets per day.

  4. Therefore, it will take them 30 days to complete the set when working together.

This problem has been solved

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