Correct Answer - Option 1 :
\(10\frac{2}{{13}}\) days
Given:
Ram, Shyam and Gopal can finish a work in 22, 33 and 44 days respectively
Calculation:
Ram finish his work in 22 days
⇒ Ram’s work in one day = 1/22 units
Shyam finish his work in 33 days
⇒ Shyam’s work in one day = 1/33 units
Gopal finish his work in 33 days
⇒ Gopal’s work in one day = 1/44 units
In one day together they will work = 1/22 + 1/33 + 1/44
Let x be number of day they will complete work
⇒ 1/22 + 1/33 + 1/44 = 1/x
⇒ 1/x = 13/132
⇒ x = 132/13 = \(10\frac{2}{{13}}\) days
∴ Working together they will complete the work in \(10\frac{2}{{13}}\) days