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.  Select.
A) 5 5⁄11	B) 4 5⁄11	C) 6 4⁄11	D) 6 5⁄11	E) 7 5⁄11
Explanation :   5 5⁄11 can complete the work in 12 days working 8 hours a day   =&gt; Number of hours 5 5⁄11 can complete the work = 12×8 = 96 hours   =&gt; Work done by 5 5⁄11 in 1 hour = 1/96   B can complete the work in 8 days working 10 hours a day   =&gt; Number of hours B can complete the work = 8×10 = 80 hours   =&gt; Work done by B in 1 hour = 1/80   Work done by 5 5⁄11 and B in 1 hour = 1/96 + 1/80 = 11/480   =&gt; 5 5⁄11 and B can complete the work in 480/11 hours   5 5⁄11 and B works 8 hours a day   Hence total days to complete the work with 5 5⁄11 and B working together   = (480/11)/ (8) = 60/11 days = 5 5⁄11 days   5 5⁄11nswer : Option 5 5⁄11
<result>A</result>
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.