A pool measuring 50 m x 28 m x 1.5 m was completely filled with water. The water was draining out of the tank at a constant rate and became completely empty after 28 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 9 minutes?
(a)
Fraction of the pool empty per minute =
128 Fraction of the pool empty at 15
th minute
=
128 x 15
=
1528 Fraction of the pool still filled with water
= 1 -
1528 =
2828 -
1528 =
1328 (b)
Volume of the pool
= 50 x 28 x 1.5
= 2100 m
3 = 2100 ℓ
Volume of water drained per minute
= 2100 ÷ 28
= 75 ℓ/min
Volume of the pool drained after the end of 9 minutes
= 9 x 75
= 675 ℓ
Answer(s): (a)
1328; (b) 675 ℓ