A pool measuring 40 m x 20 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 24 minutes.
- What fraction of the pool was filled with water at the end of 17 minutes? Express your answer in the simplest form.
- How many litres of water was drained out of the pool at the end of 9 minutes?
(a)
Fraction of the pool empty per minute =
124 Fraction of the pool empty at 17
th minute
=
124 x 17
=
1724 Fraction of the pool still filled with water
= 1 -
1724 =
2424 -
1724 =
724 (b)
Volume of the pool
= 40 x 20 x 2.2
= 1760 m
3 = 1760 ℓ
Volume of water drained per minute
= 1760 ÷ 24
= 73.333333333333 ℓ/min
Volume of the pool drained after the end of 9 minutes
= 9 x 73.333333333333
= 660 ℓ
Answer(s): (a)
724; (b) 660 ℓ