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If 9 men and 12 boys can do a piece of w...

If 9 men and 12 boys can do a piece of work in 4 days and 4 men and 16 boys can do the same work in 6 days, how long will 6 men and 24 boys take to complete the same work?

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AI Generated Solution

To solve the problem step by step, we will first convert the work done by men and boys into a common unit and then find out how long 6 men and 24 boys will take to complete the work. ### Step 1: Understand the work done by 9 men and 12 boys in 4 days - Let the work done by 1 man in 1 day be \( M \) and the work done by 1 boy in 1 day be \( B \). - The total work done by 9 men and 12 boys in 4 days can be expressed as: \[ \text{Total Work} = (9M + 12B) \times 4 \] ...
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