Nishu and Archana can do a piece of work in 10 days and Nishu alone ca...
Given information:
- Nishu and Archana can do a piece of work in 10 days
- Nishu alone can do it in 12 days
Let's assume that the total work to be done is 120 units (LCM of 10 and 12).
So, Nishu and Archana together can do 12 units of work in a day (since they can finish 120 units of work in 10 days).
Also, Nishu can do 10 units of work in a day (since he can finish 120 units of work in 12 days).
Now, let's find out how much work Archana can do in a day:
- Let's assume that Archana can do x units of work in a day
- So, Nishu and Archana together can do (x+10) units of work in a day
- We know that they can do 12 units of work in a day
- Therefore, (x+10) = 12
- Solving for x, we get x = 2
So, Archana can do 2 units of work in a day.
This means that Archana alone can finish the total work (120 units) in 60 days (since she can finish 2 units of work in a day).
Therefore, the correct option is A) 60 days.