As shown in Fig. 1, the tank of a rectangular prism is divided into X and Y by partition of a rectangle.
Water is poured into X and Y from the water pipes A and B respectively at the same time at a fixed rate.
The graph of Fig. 2 shows the relation of the height of each water surface of X and Y and the time from the start of pouring water.
The thickness of the wall of a tank and a partition is not considered.
Answer to the following questions.
(1) Find the volume of the water which is poured out in one minute from the water pipe A.
(2) Find all the time from the start of pouring water when the difference of the height of the water surface of X and Y becomes 4 cm.
(3) Find the time from the start of pouring water when the tank is filled with water.
Water is poured into X and Y from the water pipes A and B respectively at the same time at a fixed rate.
The graph of Fig. 2 shows the relation of the height of each water surface of X and Y and the time from the start of pouring water.
The thickness of the wall of a tank and a partition is not considered.
Answer to the following questions.
(1) Find the volume of the water which is poured out in one minute from the water pipe A.
(2) Find all the time from the start of pouring water when the difference of the height of the water surface of X and Y becomes 4 cm.
(3) Find the time from the start of pouring water when the tank is filled with water.
Answer
(1) 320 cm3
(2) 25 minutes, 89 minutes
(3) 120 minutes
(2) 25 minutes, 89 minutes
(3) 120 minutes
