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A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days ?

Correct Answer: 60/11

Explanation:

A can complete the work in 12 days working 8 hours a day


=> Number of hours A can complete the work = 12×8 = 96 hours 


=> Work done by A in 1 hour = 1/96


 


B can complete the work in 8 days working 10 hours a day


=> Number of hours B can complete the work = 8×10 = 80 hours 


=> Work done by B in 1 hour = 1/80


 


Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480


 => A and B can complete the work in 480/11 hours


 


A and B works 8 hours a day.


Hence total days to complete the work with A and B working together 


= (480/11)/ (8) = 60/11 days


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