1.

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Answer»

Given that A can COMPLETE a work in 10 DAYS.


Work DONE by A in 1-day = (1/10).


Given that B can complete the work in 12 days.


Work done by B in 1-day = (1/12).


Work done by A and B in 1-day = (1/10) + (1/12)


= 11/60.



Work done by A and B in 3 days = (11/60) * 3


= 11/20.



Remaining work = (1 - 11/20)


= 9/20.



Now,


9/20 of the work completed by B in (12 * 9/20) = 108/20 days.


Therefore, the total TIME taken = (108/20) + 3


= 168/20


= 42/5


= 8 (2/5) days.





Hope this helps!



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