1 Answers

Option 4 : 6 days

Given:

A can complete a work in 12 days

B can complete the same work in 9 days 

A left the work 2 days before completion

Formula Used:

Work = Efficiency × Time

Calculation:

Let the whole work be completed in d days

Total work = LCM of 12, 9 days

= 36 days

Efficiency of A = 36/12

= 3

Efficiency of B = 36/9

= 4 

Total work = work done by A + work done by B

⇒ 36 days = 3(d – 2) + 4 × d

⇒ 3d + 4d = (36 + 6) days

⇒ 7d = 42 days

⇒ d = 6 days

∴ The whole work will be completed in 6 days.

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