12 persons can complete the work in 18 days. After working for 6 days, 4 more…
2024
12 persons can complete the work in 18 days. After working for 6 days, 4 more persons are added to complete the work fast. In how many more days will they complete the work?
- A.
6 days
- B.
9 days
- C.
12 days
- D.
14 days
Attempted by 44 students.
Show answer & explanation
Correct answer: B
Step-by-step solution:
Compute total work in person-days: 12 persons × 18 days = 216 person-days.
Work done in the first 6 days by 12 persons: 12 × 6 = 72 person-days.
Remaining work: 216 − 72 = 144 person-days.
After adding 4 persons there are 16 persons. Days required = remaining work ÷ number of persons = 144 ÷ 16 = 9 days.
Final answer: 9 days.