Time And Work

Let the total work be denoted by . Ravi completes of the work in 12 days, so the total time taken to complete the entire work would be: Now, we need to find how many days Ravi will take to complete of the work. The time taken for of the work is: Therefore, Ravi will take 8 days to finish of the work.

Let the work be represented by , and let the rates of work for A, B, and C be , , and respectively. From the given information: We want to find the time taken by A alone. First, add all three equations: Simplifying: Now simplify further to find and calculate the time. This simplifies to days. Thus, A alone can do the work in 60 days.