Amit can complete a piece of work in 5 hours, Jeevan and Paul together can complete it in 4 hours, while Amit and Paul together can complete it in 3 hours. Approximately, how many hours will Jeevan alone take to complete the work (rounded off to the nearest integer)?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 9.
Total work (LCM of 5, 4, 3) = 60 units
The efficiency of Amit = 60/5 = 12
The efficiency of Jeevan and Paul = 60/4 = 15
The efficiency of Amit and Paul = 60/3 = 20
Now, the efficiency of Paul = 20 - 12 = 8
Efficiency of Jeevan = 15 - 8 = 7
Hence, Jeevan can complete work alone in = 60/7 = 8.57 ≈ 9 days