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3 men or 15 boys can do a piece of work in 30 days. In how many days will 2 men and 5 boys do this work?

Solution

✅ Correct Option: 3

The question states that 3 men or 15 boys can finish the work in 30 days.

Both groups take the same time (30 days), so they have the same working power.

Therefore: 3 men = 15 boys

Dividing both sides by 3:

1 man = 5 boys


Converting the 5 boys into men using this relationship:

5 boys = 1 man


The total working power of 2 men and 5 boys:

2 men + 5 boys = 2 men + 1 man

Total = 3 men


3 men can finish the work in 30 days.

Since 2 men + 5 boys = 3 men, the time needed is 30 days.

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