Ramesh and Suresh can complete a piece of work in 10 days and 12 days, respectively. If they are working on alternate days, starting with Ramesh, in how many days will the entire work be finished?
Show answer & explanation
Correct answer: D
Explanation
The Correct answer is option 4 i.e. 10
Given that
Ramesh can complete a piece of work in 10 days
Suresh can complete the same piece of work in 12 days
Total work = LCM (10, 12) = 60
The efficiency of Ramesh = 60/10 = 6
The efficiency of Suresh = 60/12 = 5
If they are working on alternate days, starting with Ramesh
In 2 days, (6 + 5 = 11) work will be completed
In 10 days, 55 work will be completed
Now, the remaining work (60 - 55 = 5) will be completed by Ramesh in 5/6 days
Hence, the total work completed in 10 days