12 men or 30 boys can complete a work in 72 days. How many days will 48 men and 24 boys will take to complete the same work?

12 men or 30 boys can complete a work in 72 days. How many days will 48 men and 24 boys will take to complete the same work?
1). 20
2). 18
3). 15
4). 25

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Guest · Answer 1 · 2019-06-13 05:12:09

We have,

Efficiency of 12 men = Efficiency of 30 boys

⇒ Efficiency of 2 men = Efficiency of 5 boys

⇒ Efficiency of 48 men = Efficiency of 120 boys

Now, we have of find out time taken by 48 men and 24 boys to complete the work or 144(120 + 24) boys to complete the works

Now,

Total work = time taken × number of workers = 72 × 30 = 2160

⇒ Time taken by 144 boys to complete the work = Total work/no. of workers = 2160/144 = 15 days

∴ 48 men and 24 boys take 15 days to complete the work

12 men or 30 boys can complete a work in 72 days. How many days will 48 men and 24 boys will take to complete the same work?

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