Multiple choice

Twelve typists , all working with same speed type a certain number of pages in $18$ days working $8$ hours a day . How many hours per day must sixteen typists work in order to type the same number of pages in $9$ days?

  1. $10$
  2. $18$
  3. $12$
  4. $14$
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C Correct answer
Explanation

Use M1*D1*H1 = M2*D2*H2. 12 * 18 * 8 = 16 * 9 * H2. 1728 = 144 * H2. H2 = 1728 / 144 = 12.

AI explanation

Using the constant product formula of workers times days times hours, we equate 12 typists times 18 days times 8 hours to 16 typists times 9 days times the unknown hours. This gives 1728 equal to 144 times the unknown hours. Dividing 1728 by 144 results in 12 hours per day.

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