Multiple choice

Whitney appointed 10 people to complete a project. If they work for 8 hours a day, it would take them 14 days to complete it. If Whitney had appointed 22 workers who worked for 10 hours a day, in how many days would the project be completed?

  1. 5.09

  2. 6.70

  3. 7.82

  4. None of these
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A Correct answer
Explanation

Using the formula M1*D1*H1 = M2*D2*H2: 10 * 14 * 8 = 22 * D2 * 10. 1120 = 220 * D2. D2 = 1120 / 220 = 5.0909.

AI explanation

Using the man-hours formula, the total work equals 10 workers times 14 days times 8 hours per day, giving 1120 man-hours. For the new scenario with 22 workers working 10 hours a day, their daily output is 220 man-hours. Dividing the total 1120 man-hours by the daily output of 220 man-hours results in 5.09 days.

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