Water was poured into a container of Fig.1 by the rate of 40 cm3 per second.
Fig.2 is the chart which showed a relation between time and the depth of the water since it's started pouring until it becomes filled with water.
Answer the following questions.
(1) Find the length of X of Fig.1.
(2) Find the length of Y of Fig.1.
Answer
(1) 4 cm
(2) 28 cm
Solution
(1) In the Fig.3, 15 : 20 = 3 : 4.
In the Fig.4, A : B = 3 : 4.
(46 - 18) / ( 3 + 4) = 4
A = 3 × 4 = 12 seconds.
X = 40 × (18 + 12) / (20 × 15) = 4 cm
(2) B= 4 × 4 = 16 cm
40 ×16 = 640 cm3
640 / (20 × 4) = 8 cm
Thus Y = 20 + 8 = 28 cm.
