Inlet and outlet

The pool has a capacity of 50 hl. The inlet pipe flows in 1 minute 1.25 hl, and the waste pipe outlet is draining the full pool in 50 minutes. How long will take the empty the full pool when both the inlet and outlet are opened at the same time?

Result

t =  200 min

Solution:

$V=50 \ \text{hl} \ \\ v_{ 1 }=1.25 \ \text{hl/min} \ \\ v_{ 2 }=V/50=50/50=1 \ \text{hl/min} \ \\ \ \\ t=V/(v_{ 1 }-v_{ 2 })=50/(1.25-1)=200 \ \text{min}$

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