2024 · Q59
p number of men can finish a piece of work in q days. If there are 50% more men, then the work will be finished 12 days earlier. What is the value of q?
Elementary MathematicsTime and Work
- A48
- B40
- C36
- DCannot be determined due to insufficient data
Explanation
If p men take q days, 1.5p men take q − 12 days for the same work: pq = 1.5p(q − 12). Simplifying gives q = 1.5q − 18. Hence q = 36, option (c).