5. A can do ⅕th of a certain work in 2 days and B can do⅔of it in 8 days. In how much time can they do it together
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A can do 1/5th of work in 2 days
This implies that the total work is done by A in 2*5 = 10 days
A's one day work = 1/10
B can do 2/3rd work in 8 days
This implies that the total work is done by B in = 8*3/2 = 12 days
B's one day work = 1/12
Now, (A+B)'s one day work = 1/10 +1/12
=> 6 + 5 /60
=> 11 / 60
If A and B 's one day work = 11/60
They can complete the work together in = 60/11 days
=> 5 whole 5/11 days
OR
=> 60/11 days
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