A pool measuring 40 m x 28 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 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 8 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
= 40 x 28 x 2.2
= 2464 m
3 = 2464 ℓ
Volume of water drained per minute
= 2464 ÷ 28
= 88 ℓ/min
Volume of the pool drained after the end of 8 minutes
= 8 x 88
= 704 ℓ
Answer(s): (a)
1128; (b) 704 ℓ