A pool measuring 45 m x 20 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 16 minutes.
- What fraction of the pool was filled with water at the end of 15 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 =
116 Fraction of the pool empty at 15
th minute
=
116 x 15
=
1516 Fraction of the pool still filled with water
= 1 -
1516 =
1616 -
1516 =
116 (b)
Volume of the pool
= 45 x 20 x 4
= 3600 m
3 = 3600 ℓ
Volume of water drained per minute
= 3600 ÷ 16
= 225 ℓ/min
Volume of the pool drained after the end of 8 minutes
= 8 x 225
= 1800 ℓ
Answer(s): (a)
116; (b) 1800 ℓ