Multiple choice

A certain number of persons can do a piece of work in 10 days. If 8 more persons were employed, the work would have been done 2 days earlier. How many persons are appointed in the beginning?

  1. 23

  2. 32

  3. 19

  4. 25

  5. 36
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the number of persons. Work = 10x. With x+8 persons, time is 8 days. Work = 8(x+8). 10x = 8x + 64, so 2x = 64, x = 32.

AI explanation

Let the initial number of persons be x. The total work is x multiplied by 10 days. With 8 more persons, the total work is (x + 8) multiplied by 8 days. Equating the work gives 10x = 8x + 64. Solving for x gives 2x = 64, which means 32 persons were appointed in the beginning.

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