Multiple choice

A group of workers accepted to do a piece of work in $25$ days. If six of them did not turn up for the work and the remaining workers did the work in $40$ days, then the original number of workers were

  1. $22$
  2. $20$
  3. $18$
  4. $16$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let x be the original number of workers. The total work is 25x. After 6 workers leave, the remaining (x-6) workers finish in 40 days, so 40(x-6) = 25x. Solving 40x - 240 = 25x gives 15x = 240, so x = 16.

AI explanation

Let the original number of workers be x, so their total work is 25x man-days. Equating the work of the original group to the reduced group gives 25x = 40(x - 6). Solving this linear equation, 25x = 40x - 240, yields x = 16.

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