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.Suppose that Golu and Pandu started the work on day 1 and Sampu worked on day 2,on day 3 again Golu and Pandu worked on it, on day 4 Sampu worked on it and so on, then how long will it take to complete the work?(1 Point)
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.Suppose that Golu and Pandu started the work on day 1 and Sampu worked on day 2,on day 3 again Golu and Pandu worked on it, on day 4 Sampu worked on it and so on, then how long will it take to complete the work?(1 Point)
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.
Now, let's see how much work is done in two days:
- On the first day, Golu and Pandu work. So, the work done is 1/24 + 1/40 = 8/240 + 6/240 = 14/240 = 7/120.
- On the second day, Sampu works. So, the work done is 1/15 = 8/120.
So, in two days, the total work done is 7/120 + 8/120 = 15/120 = 1/8.
This means that 1/8 of the work is done in 2 days. So, to complete the whole work, it will take 2 * 8 = 16 days.
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