**Question 01**

**A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?**

A can complete the work in 18 days

so, **A’s 1-day work = 1/18**

B can do the same work in half the time

So, B can complete the whole work in 9 days

Hence, **B’s 1-day work = 1/9**

If both start working together, in one day they will complete:

Thus, (A + B)’s combined 1-day work = (1/18)+ (1/9) => 3/18 => 1/6

Hence 1/6 of the work will be completed in a day, if they both work together.