Multiple choice

Working efficiently, 16 industrial machines can produce a target output of 2400 structural units in 18 days working 8 hours a day. How many days will it take 24 identical machines to manufacture 3600 units if they run at an operational schedule of 9 hours a day?

  1. 16 days

  2. 18 days

  3. 20 days

  4. 22 days

  5. 15 days
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Use the formula (M1 * D1 * H1) / W1 = (M2 * D2 * H2) / W2. (16 * 18 * 8) / 2400 = (24 * D2 * 9) / 3600. 2304 / 2400 = 216 * D2 / 3600. 0.96 = 0.06 * D2. D2 = 0.96 / 0.06 = 16 days.

AI explanation

Using the combined work formula (M1 * D1 * H1) / W1 = (M2 * D2 * H2) / W2, we substitute the given values: (16 * 18 * 8) / 2400 = (24 * D2 * 9) / 3600. Simplifying the left side gives 2304 divided by 2400, which equals 24/25, and simplifying the right side constants gives 216 * D2 divided by 3600, which reduces to 3 * D2 divided by 50. Solving the equation 24/25 = (3 * D2) / 50 yields 48 = 3 * D2, meaning it will take 16 days.

Keep practicing — related questions