A pool measuring 45 m x 18 m x 2.2 m was completely filled with water. The water was draining out of the tank at a constant rate and became completely empty after 22 minutes.
- What fraction of the pool was filled with water at the end of 19 minutes? Express your answer in the simplest form.
- How many litres of water was drained out of the pool at the end of 10 minutes?
(a)
Fraction of the pool empty per minute =
122 Fraction of the pool empty at 19
th minute
=
122 x 19
=
1922 Fraction of the pool still filled with water
= 1 -
1922 =
2222 -
1922 =
322 (b)
Volume of the pool
= 45 x 18 x 2.2
= 1782 m
3 = 1782 ℓ
Volume of water drained per minute
= 1782 ÷ 22
= 81 ℓ/min
Volume of the pool drained after the end of 10 minutes
= 10 x 81
= 810 ℓ
Answer(s): (a)
322; (b) 810 ℓ