A rectangular container measuring 84 cm by 58 cm by 27 cm was to be filled with water by two taps, H and J. Tap H which fills the tank at a rate of 9 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 6 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
= 84 x 58 x 27
= 131544 cm
3 1 ℓ = 1000 cm
3 9 ℓ = 9000 cm
3 Volume of water filled by Tap H
= 9000 x 6
= 54000 cm
3 Volume of water filled by Tap J
= 131544 - 54000
= 77544 cm
3 Rate in which Tap J fills the container
= 77544 ÷ 3
= 25848 cm3/min
25848 mℓ/min
= 25.848 ℓ/min
≈ 25.8 ℓ/min (Correct to 1 decimal place)
Answer(s): 25.8 ℓ/min