A pool measuring 30 m x 18 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 28 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 7 minutes?
(a)
Fraction of the pool empty per minute =
128 Fraction of the pool empty at 17
th minute
=
128 x 17
=
1728 Fraction of the pool still filled with water
= 1 -
1728 =
2828 -
1728 =
1128 (b)
Volume of the pool
= 30 x 18 x 2.4
= 1296 m
3 = 1296 ℓ
Volume of water drained per minute
= 1296 ÷ 28
= 46.285714285714 ℓ/min
Volume of the pool drained after the end of 7 minutes
= 7 x 46.285714285714
= 324 ℓ
Answer(s): (a)
1128; (b) 324 ℓ