Correct Answer - Option 2 : 6 days
Given:
A can complete a piece of work in 24 days
B can complete a piece of work in 12 days
C can complete a piece of work in 24 days
Concept used:
The number of working days of three boys is x, y, z
Total number of days in which three boys completed the whole work = [xyz/(xy + yz + xz)]
Calculation:
A can complete a piece of work in 24 days
B can complete a piece of work in 12 days
C can complete a piece of work in 24 days
Total number of days in which A, B, C boys completed the whole work = [xyz/(xy + yz + xz)]
Total number of days in which A, B, C boys completed the whole work = {24 × 12 × 24/[(12 × 24) + (24 × 24) + (12 × 24)]}
⇒ [6912/1152] = 6
∴ They will complete the whole work in 6 days.
