Twelve men can complete a piece of work in 32 days. The same work can

1.	Twelve men can complete a piece of work in 32 days. The same work can be completed by 16 women in 36 days and by 48 boys in 16 days. Find the time taken by one man, one woman and one boy working toget
Answer» (64 * 36)/13 days 12 MEN take 32 days to complete the work. One MAN will take (12 * 32) days to complete it. Similarly one woman will take (16 * 36) days to complete it and one boy will take (48 * 16) days to complete it. One man, one woman and one boy WORKING together will complete = 1/(12 * 32) + 1/(16 * 36) + 1/(48 * 16) = 1/(4 * 3 * 16 * 2) + 1/(16 * 4 * 9) + 1/(16 * 3 * 4 * 4) = 1/64(1/6 + 1/9 + 1/12) = 1/64 * 13/36 of the work in a day. They will take (64 * 36)/13 days to complete the work working together.

Twelve men can complete a piece of work in 32 days. The same work can be completed by 16 women in 36 days and by 48 boys in 16 days. Find the time taken by one man, one woman and one boy working toget

Answer»

(64 * 36)/13 days

12 MEN take 32 days to complete the work.

One MAN will take (12 * 32) days to complete it.

Similarly one woman will take (16 * 36) days to complete it and one boy will take (48 * 16) days to complete it.

One man, one woman and one boy WORKING together will complete = 1/(12 * 32) + 1/(16 * 36) + 1/(48 * 16)

= 1/(4 * 3 * 16 * 2) + 1/(16 * 4 * 9) + 1/(16 * 3 * 4 * 4)

= 1/64(1/6 + 1/9 + 1/12) = 1/64 * 13/36 of the work in a day.

They will take (64 * 36)/13 days to complete the work working together.

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