Question

A can do a piece of work in 6 hours while B can do it in 8 hours with the help of C they completed the work in two and half hour how much time can C complete the work alone?

Answer 1

To find out how much time C can complete the work alone, we can calculate the individual work rates and set up an equation. By solving the equation, we find that C can complete the work alone in 8 hours.

Step-by-step explanation:

To find out how much time C can complete the work alone, we need to find the individual work rates of A, B, and C. Let's assume that the work to be done is 48 units (the LCM of 6 and 8).
Rate of A = 48/6 = 8 units/hour
Rate of B = 48/8 = 6 units/hour
Combined rate of A and B = 8 + 6 = 14 units/hour
Let's assume the time taken by C to complete the work alone is 'x' hours
C completes 1/x of the work in 1 hour
Combined rate of A, B, and C = 14 + 1/x units/hour
Given that the combined work is completed in 2.5 hours, we can set up the following equation:
(14 + 1/x) * 2.5 = 48
Solving this equation, we get x = 48/6 = 8 hours.
Therefore, C can complete the work alone in 8 hours.