Multiple choice

Twenty two men can complete a piece of work in $17$ days. They work for $2$ days. How many more men should now be employed so as to complete the work in another $10$ days?

  1. $11$
  2. $22$
  3. $33$

  4. None of these
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A Correct answer
Explanation

Total work = 22 * 17 = 374 man-days. Work done in 2 days = 22 * 2 = 44 man-days. Remaining work = 330 man-days. To finish in 10 days, we need 330 / 10 = 33 men. Additional men needed = 33 - 22 = 11.

AI explanation

Using the formula men multiplied by days equals work, the total work is 22 men multiplied by 17 days, which is 374 man-days. After 22 men work for 2 days, they complete 44 man-days, leaving 330 man-days of work. To complete the remaining 330 man-days in 10 days, the total men required are 33, so the additional men needed are 33 minus 22, which is 11 men.

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