A pool measuring 45 m x 15 m x 2.2 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 6 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 15 x 2.2
= 1485 m
3 = 1485 ℓ
Volume of water drained per minute
= 1485 ÷ 22
= 67.5 ℓ/min
Volume of the pool drained after the end of 6 minutes
= 6 x 67.5
= 405 ℓ
Answer(s): (a)
722; (b) 405 ℓ