There are three content creators, 'P,' 'Q,' and 'R.' Creator 'P' can produce 32 short videos in 8 minutes, creator 'Q' takes 6 minutes to create 36 short videos, and creator 'R' takes 4 minutes to create 20 short videos. If 'P' and 'Q' work together for the first minute, followed by 'Q' and 'R' together for the next minute, and 'P' and 'R' together for the third minute, and the same pattern is followed until the video creation is completed, then determine the total time taken by them to create 459 short videos.

Solution

ATQ, Efficiency of creators 'P' = (32/8) = 4 short videos/minute Efficiency of creators 'Q' = (36/6) = 6  short videos/minute Efficiency of creators 'R' = (20/4) = 5  short videos/minute Work done on first minute = (4 + 6) × 1 = 10  short videos Work done on second minute = (6 + 5) × 1 = 11  short videos Work done on third minute = (4 + 5) × 1 = 9  short videos So, the work done on first three days = 10 + 11 + 9 = 30  short videos ATQ, Total time taken in video creation = (450/30) × 3 + (9/10) × 1 = 45 + 0.9 = 45.9 minutes