Multiple choice

A contractor undertook to do a certain piece of work in $9$ days. He employed certain number of men, but $6$ of them being absent from the very first day, the rest could finish the work in $15$ days. The number of men originally employed were

  1. $12$
  2. $15$
  3. $18$
  4. $24$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the number of men. Work = 9x. With 6 men absent, work = 15(x-6). Setting 9x = 15x - 90, we get 6x = 90, so x = 15.

AI explanation

Using the formula M1 x D1 = M2 x D2, let the initial number of men be M. This gives the equation M x 9 = (M - 6) x 15. Expanding and rearranging yields 15M - 9M = 90, so 6M equals 90 and the original number of men is 15.

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