Water reservoir

The water reservoir is filled with one pump for 4 days by the second one for 9 days. Outlet can drain tank in 12 days. How long take fill the reservoir if both pumps are running and not closed outlet channel.

Correct result:

t =  3.6

Solution:

t•(1/4+1/9-1/12)=1

10t = 36

t = 18/5 = 3.6

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