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12 men or 16 women can do a piece of work in 18 days. in how many days can 9 men and 24 women can do the work?
Most Upvoted Answer
12 men or 16 women can do a piece of work in 18 days. in how many days...
Solution:


Given:


  • 12 men or 16 women can do a piece of work in 18 days.



To find:


  • In how many days can 9 men and 24 women can do the work?



Formula Used:


  • Days taken to complete the work is inversely proportional to the number of people working on it.

  • If n1 people can do a work in d1 days and n2 people can do the same work in d2 days, then,


    • n1 * d1 = n2 * d2




Calculation:


  • Let the number of days required by 9 men and 24 women to complete the work be d.

  • From the given information,


    • 12 men can do the work in 18 days.

    • 16 women can do the work in 18 days.


  • Using the formula mentioned above,


    • 12 * 18 = 16 * 18

    • 216 = 288


  • So, 1 man's work is equal to 2 women's work.

  • Let's assume 1 man can do the work in d1 days and 1 woman can do the work in d2 days.

  • From the above result, 1 man can do the work in 2 * d2 days.

  • So, n1 * d1 = n2 * d2


    • 12 * d1 = 16 * d2

    • 3 * d1 = 4 * d2


  • Let's take d1 = 4 and d2 = 3.

  • So, 1 man can do the work in 4 days and 1 woman can do the work in 3 days.

  • Let's calculate the days required by 9 men and 24 women to complete the work.


    • n1 * d1 = n2 * d2

    • 9 * 4 + 24 * 3 = D

Community Answer
12 men or 16 women can do a piece of work in 18 days. in how many days...
8 days
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12 men or 16 women can do a piece of work in 18 days. in how many days can 9 men and 24 women can do the work?
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