Arithmetic Ability
Time and Work

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Q.

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)3 4/49 days B)12 4/49 days C)4 3/49 days D)4 12/49 days

View Answer

Correct choice: 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 hrs Number of days of 12 hours each=(2376/49×1/12) = 198/49=4 3/49 days
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