Question : A piece of work can be completed by P and Q together in 24 days, and the same piece of work can be completed by R alone in 60 days. If P and R together can do the same work in 36 days, then find the time taken by Q to complete this piece of work alone.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
One day work of P and Q together
One day work of R
One day work of P and R together
From equation 2 and 3, we get:
One day work of P
From equation 1 and 4, we get:
Thus the work can be completed by Q alone
Hence, the correct answer is