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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

Correct Answer: Option C

Explanation:

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 =  1 108 + 1 88 = 49 2376


 
So, both Raghu and Arun will finish the work in  2376 49   h r s


Number of days of 12 hours each= 2376 49 × 1 12  =  198 49 = 4 3 49   d a y s


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