George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and…
2024
George and Mark can paint 720 boxes in 20 days. Mark and Harry in 24 days and Harry and George in 15 days. George works for 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes painted by them is
- A.
252
- B.
492
- C.
516
- D.
348
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Correct answer: D
Option 4:
Capacity of G + M = 720 / 20 = 36
M+H. 720 / 24 =30
H+G. 720 /15 = 48
Combined capacity = 2 (G + H + M) = 114
G+H+M=114 / 2 = 57
Now capacity of G = (G+H+M) - (H + M) = 57 - 30 = 27
M = (G+H+M) - (H + G) = 57 - 48 = 9
H = (G+H+M) - (G + M) = 57 - 36 = 21
Given that G worked for 4 days, and mark for 8 and harry for 8 days So total work by them = 4 x 27 + 8 x 9 + 8 x 21 =348