A rectangular container measuring 75 cm by 54 cm by 32 cm was to be filled with water by two taps, J and K. Tap J which fills the tank at a rate of 8 ℓ per minute was first turned on for 4 minutes before Tap K was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap J was first turned on, what is the rate at which Tap K fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 75 x 54 x 32
= 129600 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap J
= 8000 x 5
= 40000 cm
3 Volume of water filled by Tap K
= 129600 - 40000
= 89600 cm
3 Rate in which Tap K fills the container
= 89600 ÷ 1
= 89600 cm3/min
89600 mℓ/min
= 89.6 ℓ/min
≈ 89.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 89.6 ℓ/min