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24 experts can do as much work as 40 trainees in a given period of time. A piece of work can be done by 9 experts and 25 trainees. How many trainees alongside 12 experts would one need to complete a similar work in the same duration of time?

24 experts can do as much work as 40 trainees in a given period of time. A piece of work can be done by 9 experts and 25 trainees. How many trainees alongside 12 experts would one need to complete a similar work in the same duration of time? Correct Answer 20

Work done by 24 experts = work done by 40 trainees

⇒ Work done by 1 experts = work done by (5/3) trainees

Now,

⇒ Total work done = work done by 9 experts + 25 trainees = work done by {9 × (5/3)} + 25) trainees = work done by 40 trainees

⇒ Trainees required along with 12 expert to complete the work = 40 - {12 × (5/3)} = 20

∴ Need 20 trainee.

Remaining work = (120 - 60) = 60 units

To complete the remaining task by the trainee, need the number of trainee = 60/3 = 20                         

∴ Need 20 trainee,

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