Multiple choice

If 12 carpenters working 6 hours a day can make 460 chairs in 240 days, the number of chairs made by 18 carpenters in 360 days each working 8 hours a day will be:

  1. $1380$
  2. $1320$
  3. $1260$
  4. $920$
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A Correct answer
Explanation

Using the formula (M1*D1*H1)/W1 = (M2*D2*H2)/W2: (12*240*6)/460 = (18*360*8)/W2. 17280/460 = 51840/W2. W2 = (51840 * 460) / 17280 = 3 * 460 = 1380.

AI explanation

Using the unitary method for man-days, we equate the work by setting (12 times 6 times 240) divided by 460 equal to (18 times 8 times 360) divided by the unknown number of chairs. This simplifies to 17280 divided by 460 equaling 51840 divided by the unknown. Solving for the unknown gives 51840 times 460 divided by 17280, which equals 1380 chairs.

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