A rectangular container measuring 73 cm by 50 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 9 ℓ per minute was first turned on for 3 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
= 73 x 50 x 24
= 87600 cm
3 1 ℓ = 1000 cm
3 9 ℓ = 9000 cm
3 Volume of water filled by Tap S
= 9000 x 6
= 54000 cm
3 Volume of water filled by Tap T
= 87600 - 54000
= 33600 cm
3 Rate in which Tap T fills the container
= 33600 ÷ 3
= 11200 cm3/min
11200 mℓ/min
= 11.2 ℓ/min
≈ 11.2 ℓ/min (Correct to 1 decimal place)
Answer(s): 11.2 ℓ/min