You are the art director for the movie 'Ninne debug chesta'. You hired Golu, Sampu and Pandu to design a set for amovie. Golu can complete it in 24 days while Sampu and Pandu can complete it in 15days and 40 days respectively.Sampu and Pandu started the work. If the set is to be completed in 10 days, after howmany days should Golu join them?
Question
You are the art director for the movie 'Ninne debug chesta'. You hired Golu, Sampu and Pandu to design a set for amovie. Golu can complete it in 24 days while Sampu and Pandu can complete it in 15days and 40 days respectively.Sampu and Pandu started the work. If the set is to be completed in 10 days, after howmany days should Golu join them?
Solution
To solve this problem, we first need to find out how much work each person can do in a day.
- Golu can complete the work in 24 days. So, the work done by Golu in 1 day is 1/24.
- Sampu can complete the work in 15 days. So, the work done by Sampu in 1 day is 1/15.
- Pandu can complete the work in 40 days. So, the work done by Pandu in 1 day is 1/40.
Sampu and Pandu started the work and they are to complete it in 10 days.
The combined work done by Sampu and Pandu in 1 day is 1/15 + 1/40 = 11/120.
So, in 10 days, the work done by Sampu and Pandu is 10 * 11/120 = 11/12.
This means there is 1/12 of the work left to be done, which Golu has to complete.
We know that Golu can do 1/24 of the work in a day. So, to complete 1/12 of the work, Golu will need 1/12 ÷ 1/24 = 2 days.
Therefore, Golu should join them after 10 - 2 = 8 days.
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