Multiple choice

Mr. Partap undertook to do a certain piece of construction work in 15 days. Since 6 of the employed labourers were absent from the very first day, the rest could finish the work in 21 days. The original number of men employed was

  1. 15

  2. 19

  3. 12

  4. 21

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the original number of men. The total work is 15x. With (x-6) men, the work takes 21 days, so 21(x-6) = 15x. Solving this: 21x - 126 = 15x, which gives 6x = 126, so x = 21.

AI explanation

Let the original number of men be M. Using the formula M1D1 = M2D2, the total work remains constant, so M * 15 = (M - 6) * 21. Expanding this gives 15M = 21M - 126. Solving for M yields 6M = 126, which means the original number of men was 21. The result is 21.

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