P worked on a job for 4 hours and then Q joined him. After 8 more hours,P stopped working and Q took 34 more hours to complete the remaining part of the job. If P and Q together can complete the job in 24 hours, how long will it take for each of them (in hours) to complete the job invidually?

Options

A. 40,60
B. 48,60
C. 60,45
D. 40,30

Answer

A

Explanation

(i) P worked for 12 hours and Q worked for 42 hours.
(ii) P worked for 12 hours and Q worked for 42 hours to complete the work.
(iii) Solve `(12)/(P)+(42)/(q)=1` and `(1)/(p)+(1)/(q)=(1)/(24)` where p and q are the time taken by P and Q respectively to complete the work.