A rectangular container measuring 75 cm by 58 cm by 22 cm was to be filled with water by two taps, H and J. Tap H which fills the tank at a rate of 6 ℓ per minute was first turned on for 3 minutes before Tap J was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap H was first turned on, what is the rate at which Tap J fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 75 x 58 x 22
= 95700 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap H
= 6000 x 5
= 30000 cm
3 Volume of water filled by Tap J
= 95700 - 30000
= 65700 cm
3 Rate in which Tap J fills the container
= 65700 ÷ 2
= 32850 cm3/min
32850 mℓ/min
= 32.85 ℓ/min
≈ 32.9 ℓ/min (Correct to 1 decimal place)
Answer(s): 32.9 ℓ/min