A rectangular container measuring 89 cm by 54 cm by 32 cm was to be filled with water by two taps, K and L. Tap K which fills the tank at a rate of 8 ℓ per minute was first turned on for 3 minutes before Tap L was turned on as well. If the tank was filled to the brim in a total of 6 minutes from the time when Tap K was first turned on, what is the rate at which Tap L fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 89 x 54 x 32
= 153792 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap K
= 8000 x 6
= 48000 cm
3 Volume of water filled by Tap L
= 153792 - 48000
= 105792 cm
3 Rate in which Tap L fills the container
= 105792 ÷ 3
= 35264 cm3/min
35264 mℓ/min
= 35.264 ℓ/min
≈ 35.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 35.3 ℓ/min