A rectangular container measuring 75 cm by 57 cm by 22 cm was to be filled with water by two taps, Z and A. Tap Z which fills the tank at a rate of 5 ℓ per minute was first turned on for 4 minutes before Tap A was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap Z was first turned on, what is the rate at which Tap A fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 75 x 57 x 22
= 94050 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap Z
= 5000 x 5
= 25000 cm
3 Volume of water filled by Tap A
= 94050 - 25000
= 69050 cm
3 Rate in which Tap A fills the container
= 69050 ÷ 1
= 69050 cm3/min
69050 mℓ/min
= 69.05 ℓ/min
≈ 69.1 ℓ/min (Correct to 1 decimal place)
Answer(s): 69.1 ℓ/min