Bhaskar can do a piece of work in 10 days working 8 hours a day and Vishal can do it in 8 days worki...........

Quantitative Aptitude (CDS) Time and work

Bhaskar can do a piece of work in 10 days working 8 hours a day and Vishal can do it in 8 days working 6 hours a day. How long will they take to do it, working together 6 hour a day?

6days

5days

7days

8days

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Explanation:

Bhaskar can complete the work in (10 x 8 ) = 80 hours
Vishal can complete the work in (8 x 6 ) = 48 hours.
Bhaskar's 1 hour's work = 1/80 and Vishal's 1 hour's work = 1/48hours.
(A +B)'s 1 hour's work = (1/80+1/48)= 1/30
Both will finish work in 30 hours
Number of days of 6 hour each = 30/6 = 5 days