A rectangular tank measuring 160 cm by 60 cm by 120 cm is 60% filled with water. 9 identical jars of water that are completely filled are then scooped out from it. The water level drops to 42 cm. The remaining amount of water in the tank is later poured into a container that contains 30 litres of water. The water is then drained out through a tap found at the bottom of the container at 30 litres per minute.
- What is the capacity of each pail? Answer in litres.
- How long did it take to drain the water from the container completely? Answer in terms of min.
(a)
Original height of water in the tank
= 120 x 60%
= 72 cm
Difference in height when 9 jars were scooped out
= 72 - 42
= 30 cm
Volume of 9 jars
= 160 x 60 x 30
= 288000 cm
3 Volume of 1 jar
= 288000 ÷ 9
= 32000 mℓ
= 32 ℓ
(b)
Remaining water in the tank
= 160 x 60 x 42
= 403200 cm
3 30 ℓ = 30000 mℓ
Total volume of water to drain
= 403200 + 30000
= 433200 mℓ
30 ℓ = 30000 mℓ
Time taken to drain the water
= 433200 ÷ 30000
= 14.44 min
Answer(s): (a) 32 ℓ; (b) 14.44 min