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Option 3 : 8 days
Given:
A can complete a work in 9 days
B can complete a work in 12 days
A left the work before 5 days of completion of the work
Formula Used:
Work = Efficiency × Time
Calculation:
Let the whole work be completed in D days
Total work = LCM of 9, 12
⇒ 36
Efficiency of A = 36/9
⇒ 4
Efficiency of B = 36/12
⇒ 3
B worked for D days, while A worked for (D – 5) days
4(D – 5) + 3 × D = 36
⇒ 4D – 20 + 3D = 36
⇒ 7D = 56
⇒ D = 8
∴ The whole work is completed in 8 days
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