EE.3 One water feeding pipe and two draining pipes

Fig. 1 shows a vessel of the square pillar whose area of the bottom is 300 cm2 and depth is 50 cm.
Water pours in from A pipe and water comes out from B pipe and C pipe.
The graph of Fig. 2 expresses the relation of the depth of water and time.
Answer the following questions.

(1) Water is poured in from A pipe for the first 5 minutes with closing B pipe and C pipe.
Find the amount of the water poured per minute from A pipe.

(2) A pipe and C pipe were closed for the following 6 minutes and water was poured out from B pipe.

Furthermore, B pipe was closed for the following 3 minutes and water was poured in from A pipe and poured out from C pipe.

After that, all three pipes are opened.
Then find the time from the start when a vessel is filled with water.







Answer
(1) 1200 cm3
(2) 24 minutes