A pool measuring 30 m x 20 m x 1.8 m was completely filled with water. The water was draining out of the tank at a constant rate and became completely empty after 30 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 =
130 Fraction of the pool empty at 19
th minute
=
130 x 19
=
1930 Fraction of the pool still filled with water
= 1 -
1930 =
3030 -
1930 =
1130 (b)
Volume of the pool
= 30 x 20 x 1.8
= 1080 m
3 = 1080 ℓ
Volume of water drained per minute
= 1080 ÷ 30
= 36 ℓ/min
Volume of the pool drained after the end of 9 minutes
= 9 x 36
= 324 ℓ
Answer(s): (a)
1130; (b) 324 ℓ