Multiple choice

If 12 boys can do a piece of work in 8 days working 6 hours a day, then 16 boys can do the same piece of work in how many days, working 4 hours a day?

  1. 8

  2. 9

  3. 12

  4. 6

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Using the work equivalence formula M1 * D1 * H1 = M2 * D2 * H2, we have 12 * 8 * 6 = 16 * D2 * 4. This simplifies to 576 = 64 * D2, which gives D2 = 9 days.

AI explanation

Use the formula M1 x D1 x H1 = M2 x D2 x H2. We substitute 12 x 8 x 6 = 16 x D2 x 4. Simplify the left side to 576 = 64 x D2. Solving for D2 gives D2 = 9 days.