A pool measuring 30 m x 28 m x 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 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
= 30 x 28 x 4
= 3360 m
3 = 3360 ℓ
Volume of water drained per minute
= 3360 ÷ 28
= 120 ℓ/min
Volume of the pool drained after the end of 10 minutes
= 10 x 120
= 1200 ℓ
Answer(s): (a)
928; (b) 1200 ℓ