Jeevan can do a piece of work alone in 42 days, while Rishi and Jeevan together can do the same piece of work in 27 days. How many days will Rishi take to complete the same piece of work alone?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 75
Given that
Jeevan can do a piece of work alone in 42 days
Rishi and Jeevan together can do the same piece of work in 27 days
Total work = LCM (42, 27) = 378
The efficiency of Jeevan = 378/42 = 9
The efficiency of Jeevan and Rishi both = 378/27 = 14
So, the efficiency of Rishi = 14 - 9 = 5
Hence, Rishi will take to complete the same piece of work alone = 378/5 = 75