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?
A.48
B.40
C.36✓ Correct
D.Cannot be determined due to insufficient data
Explanation
Total work = pq man-days. With 50% more men, number of men becomes 1.5p, and they finish in (q - 12) days. So pq = 1.5p × (q - 12), giving q = 1.5(q - 12) = 1.5q - 18. So 0.5q = 18, hence q = 36.
💡 Practice unlimited CDS PYQs + AI-tracked progress on each topic. Sign up free →