A certain number of people were supposed to complete a work in 24 days. The work, however, took 32 days since 9 people were absent throughout. How many people were supposed to be working originally? (MA.T., 2004)
Answer
Answer (as printed):
Explanation
Originally, let there be x people. Less people, More days (Indirect Proportion) \ (x – 9) : x : : 24 : 32 ⇔ (x – 9) × 32 = x × 24 ⇔ 8x = 288 ⇔ x = 36. Hence, 36 people were supposed to be working originally.
Explanation as extracted from the printed page; notation may be imperfect.