A rectangular container measuring 85 cm by 57 cm by 24 cm was to be filled with water by two taps, S and T. Tap S which fills the tank at a rate of 6 ℓ per minute was first turned on for 2 minutes before Tap T was turned on as well. If the tank was filled to the brim in a total of 5 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
= 85 x 57 x 24
= 116280 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap S
= 6000 x 5
= 30000 cm
3 Volume of water filled by Tap T
= 116280 - 30000
= 86280 cm
3 Rate in which Tap T fills the container
= 86280 ÷ 3
= 28760 cm3/min
28760 mℓ/min
= 28.76 ℓ/min
≈ 28.8 ℓ/min (Correct to 1 decimal place)
Answer(s): 28.8 ℓ/min