Ravi can do a piece of work in 40 days and Sudha can do the same piece of work in 60 days. If they work on alternative days, starting with Sudha on the first day, then in how many days will the work be completed?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 48
Given that
Ravi can do a piece of work in 40 days
Sudha can do the same piece of work in 60 days
Total work = LCM (40, 60) = 120
The efficiency of Ravi = 120/40 = 3
The efficiency of Sudha = 120/60 = 2
If they work on alternative days, starting with Sudha on the first day
In 2 days, (3 + 2 = 5) work will be completed
Hence, Total work will be completed in = 2 × 24 = 48 days