The ratio of the time taken by P and Q to complete a job is 4:3. If Q can complete the job alone in 24 hours, how many hours will they take to complete the job if they work together?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 13.71 hours.
Time for P = (4/3) × 24 = 32 hours
P’s rate = 1/32 and Q’s rate = 1/24
Combined rate = 1/32 + 1/24 = 7/96
Total time taken working together = 96/7 ≈ 13.71 hours