A pool measuring 45 m x 28 m x 1.2 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 17 minutes? Express your answer in the simplest form.
- How many litres of water was drained out of the pool at the end of 10 minutes?
(a)
Fraction of the pool empty per minute =
130 Fraction of the pool empty at 17
th minute
=
130 x 17
=
1730 Fraction of the pool still filled with water
= 1 -
1730 =
3030 -
1730 =
1330 (b)
Volume of the pool
= 45 x 28 x 1.2
= 1512 m
3 = 1512 ℓ
Volume of water drained per minute
= 1512 ÷ 30
= 50.4 ℓ/min
Volume of the pool drained after the end of 10 minutes
= 10 x 50.4
= 504 ℓ
Answer(s): (a)
1330; (b) 504 ℓ