Raghu can complete a work in 12days working 9 hours a day. Arun can complete the same work in 8 days working 11 hours a day. If both Raghu and Arun work together, working 12 hours a day, in how many days can they complete the work ? A) 3449 days B) 12449 days C) 4349 days D) 41249 days

Raghu can complete the work in (12 x 9)hrs = 108 hrs.

 Arun can complete the work in (8 x 11)hrs = 88 hrs.

Raghu's 1 hrs work = 1/108 and Arun's 1 hrs work = 1/88

(Raghu + Arun)'s 1 hrs work =  $\frac{1}{108}+\frac{1}{88}=\frac{49}{2376}$

 
So, both Raghu and Arun will finish the work in  $\frac{2376}{49} hrs$

Number of days of 12 hours each= $\frac{2376}{49}\times \frac{1}{12}$ =  $\frac{198}{49}=4\frac{3}{49} days$