A rectangular container measuring 75 cm by 52 cm by 37 cm was to be filled with water by two taps, J and K. Tap J which fills the tank at a rate of 5 ℓ per minute was first turned on for 3 minutes before Tap K was turned on as well. If the tank was filled to the brim in a total of 7 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 52 x 37
= 144300 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap J
= 5000 x 7
= 35000 cm
3 Volume of water filled by Tap K
= 144300 - 35000
= 109300 cm
3 Rate in which Tap K fills the container
= 109300 ÷ 4
= 27325 cm3/min
27325 mℓ/min
= 27.325 ℓ/min
≈ 27.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 27.3 ℓ/min