A pool measuring 45 m x 18 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 22 minutes.
- What fraction of the pool was filled with water at the end of 15 minutes? Express your answer in the simplest form.
- How many litres of water was drained out of the pool at the end of 11 minutes?
(a)
Fraction of the pool empty per minute =
122 Fraction of the pool empty at 15
th minute
=
122 x 15
=
1522 Fraction of the pool still filled with water
= 1 -
1522 =
2222 -
1522 =
722 (b)
Volume of the pool
= 45 x 18 x 1.8
= 1458 m
3 = 1458 ℓ
Volume of water drained per minute
= 1458 ÷ 22
= 66.272727272727 ℓ/min
Volume of the pool drained after the end of 11 minutes
= 11 x 66.272727272727
= 729 ℓ
Answer(s): (a)
722; (b) 729 ℓ