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Passage: The following information represents the number of people required for three different projects to be completed in various days. <table> <tr><th>Project</th><th>Case 1: Number of workers</th><th>Case 1: Days required</th><th>Case 2: Number of workers</th><th>Case 2: Days required</th></tr> <tr><td>A</td><td>X</td><td>88</td><td>X + 8</td><td>11</td></tr> <tr><td>B</td><td>Y</td><td>Y - 1</td><td>Y + 6</td><td>Y - 6</td></tr> <tr><td>C</td><td>72</td><td>75</td><td>M2</td><td>108</td></tr> </table> Question: If 64 people were working on Project A, then how many days did it take to complete the work? A) 44 days B) 22 days C) 33 days D) 36 days
- 44 days
- 22 days
- 33 days
- 36 days
Correct answer: 33 days
Solution
For Project A, total work is constant, so workers × days remains the same in both cases. Using the given cases, the work can be determined and then divided by 64 workers to get the required days. The result is 33 days.
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