Question : P and Q together can do a work in 12 days. P alone can do the same work in 18 days. In how many days can Q alone complete two-thirds part of the same work?
Option 1: 30
Option 2: 21
Option 3: 24
Option 4: 36
Correct Answer: 24
Solution :
Time taken by P alone to complete a work = 18 days
Part of work done by P alone in a day =
Let
Part of work done by Q alone in a day =
Time taken by P and Q together to complete a work = 12 days
Part of work done by P and Q together in a day =
So,
Time taken by Q alone to complete the work = 36 days
Time taken by Q alone to complete two-thirds of the work =
Hence, the correct answer is 24.
