Question

P can complete the work in 12 days. P and Q can complete the work in 8 days. In how many days Q alone can complete the same work

Answer 1

Step-by-step explanation:

Consider the total work to be of 24 units (LCM of 8 and 12).

Since P alone takes 12 days, he does 24/12, i.e., 2 units per day.

P and Q together take 8 days, so together they do 24/8, i.e., 3 units per day.

So Q alone does 3–2, i.e., 1 unit of work per day.

Doing one unit of work per day, Q will take 24/1, i.e., 24 days to complete the work.