A pool measuring 35 m x 18 m x 1.2 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 19 minutes? Express your answer in the simplest form.
- How many litres of water was drained out of the pool at the end of 10 minutes?
(a)
Fraction of the pool empty per minute =
128 Fraction of the pool empty at 19
th minute
=
128 x 19
=
1928 Fraction of the pool still filled with water
= 1 -
1928 =
2828 -
1928 =
928 (b)
Volume of the pool
= 35 x 18 x 1.2
= 756 m
3 = 756 ℓ
Volume of water drained per minute
= 756 ÷ 28
= 27 ℓ/min
Volume of the pool drained after the end of 10 minutes
= 10 x 27
= 270 ℓ
Answer(s): (a)
928; (b) 270 ℓ