- 11 days
- \(11\frac13\) days
- 13 days
- \(13\frac13\) days
- 14 days

Option 4 : \(13\frac13\) days

__GIVEN:__

time taken by (A + B) = 6 days

time taken by (B+ C) = 10 days

time taken by (A + C) = 12 days

__EXPLANATION:__

let total work be 60 units (L.C.M of 6, 10, 12)

(A + B)'s efficiency per day= 10 units

(B + C)'s efficiency per day = 6 units

(A + C)'s efficiency per day = 5 units

adding all three we get

2(A + B + C) = 21 units

(A + B + C) = 10.5 units

(A + B + C) - (B + C) = 10.5 - 6

⇒ A's efficiency = 4.5 units

time taken by A to complete the work = \(\frac{60}{4.5}=13\frac13days\)

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