A pool measuring 40 m x 15 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 22 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 11 minutes?
(a)
Fraction of the pool empty per minute =
122 Fraction of the pool empty at 17
th minute
=
122 x 17
=
1722 Fraction of the pool still filled with water
= 1 -
1722 =
2222 -
1722 =
522 (b)
Volume of the pool
= 40 x 15 x 4
= 2400 m
3 = 2400 ℓ
Volume of water drained per minute
= 2400 ÷ 22
= 109.09090909091 ℓ/min
Volume of the pool drained after the end of 11 minutes
= 11 x 109.09090909091
= 1200 ℓ
Answer(s): (a)
522; (b) 1200 ℓ