A pool measuring 45 m x 20 m x 4 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 19 minutes? Express your answer in the simplest form.
- How many litres of water was drained out of the pool at the end of 12 minutes?
(a)
Fraction of the pool empty per minute =
124 Fraction of the pool empty at 19
th minute
=
124 x 19
=
1924 Fraction of the pool still filled with water
= 1 -
1924 =
2424 -
1924 =
524 (b)
Volume of the pool
= 45 x 20 x 4
= 3600 m
3 = 3600 ℓ
Volume of water drained per minute
= 3600 ÷ 24
= 150 ℓ/min
Volume of the pool drained after the end of 12 minutes
= 12 x 150
= 1800 ℓ
Answer(s): (a)
524; (b) 1800 ℓ