A pool measuring 30 m x 18 m x 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 19 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 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
= 30 x 18 x 2
= 1080 m
3 = 1080 ℓ
Volume of water drained per minute
= 1080 ÷ 24
= 45 ℓ/min
Volume of the pool drained after the end of 9 minutes
= 9 x 45
= 405 ℓ
Answer(s): (a)
524; (b) 405 ℓ