A pool measuring 50 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 15 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 15
th minute
=
128 x 15
=
1528 Fraction of the pool still filled with water
= 1 -
1528 =
2828 -
1528 =
1328 (b)
Volume of the pool
= 50 x 28 x 4
= 5600 m
3 = 5600 ℓ
Volume of water drained per minute
= 5600 ÷ 28
= 200 ℓ/min
Volume of the pool drained after the end of 10 minutes
= 10 x 200
= 2000 ℓ
Answer(s): (a)
1328; (b) 2000 ℓ