A rectangular container measuring 75 cm by 50 cm by 28 cm was to be filled with water by two taps, S and T. Tap S which fills the tank at a rate of 8 ℓ per minute was first turned on for 4 minutes before Tap T was turned on as well. If the tank was filled to the brim in a total of 6 minutes from the time when Tap S was first turned on, what is the rate at which Tap T fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 75 x 50 x 28
= 105000 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap S
= 8000 x 6
= 48000 cm
3 Volume of water filled by Tap T
= 105000 - 48000
= 57000 cm
3 Rate in which Tap T fills the container
= 57000 ÷ 2
= 28500 cm3/min
28500 mℓ/min
= 28.5 ℓ/min
≈ 28.5 ℓ/min (Correct to 1 decimal place)
Answer(s): 28.5 ℓ/min