A rectangular container measuring 86 cm by 57 cm by 26 cm was to be filled with water by two taps, H and J. Tap H which fills the tank at a rate of 5 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
= 86 x 57 x 26
= 127452 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap H
= 5000 x 6
= 30000 cm
3 Volume of water filled by Tap J
= 127452 - 30000
= 97452 cm
3 Rate in which Tap J fills the container
= 97452 ÷ 3
= 32484 cm3/min
32484 mℓ/min
= 32.484 ℓ/min
≈ 32.5 ℓ/min (Correct to 1 decimal place)
Answer(s): 32.5 ℓ/min