A pool measuring 50 m x 28 m x 2.4 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 12 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
= 50 x 28 x 2.4
= 3360 m
3 = 3360 ℓ
Volume of water drained per minute
= 3360 ÷ 30
= 112 ℓ/min
Volume of the pool drained after the end of 12 minutes
= 12 x 112
= 1344 ℓ
Answer(s): (a)
1330; (b) 1344 ℓ