Some carpenters promised to complete a work in 20 days. When the work started, 8 of them were absent, and the remaining workers completed the work in 40 days. What was the original number of carpenters?

If P and Q together can complete a piece of work in 15 days and P alone can do it in 45 days, in how many days can Q alone complete that work?

A can lay a railway track between two stations in 16 days and B can do the same job in 12 days. With the help of C, they finished the job in 4 days. In how many days can C alone do the job?