A rectangular container measuring 79 cm by 60 cm by 33 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 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
= 79 x 60 x 33
= 156420 cm
3 1 ℓ = 1000 cm
3 9 ℓ = 9000 cm
3 Volume of water filled by Tap S
= 9000 x 5
= 45000 cm
3 Volume of water filled by Tap T
= 156420 - 45000
= 111420 cm
3 Rate in which Tap T fills the container
= 111420 ÷ 3
= 37140 cm3/min
37140 mℓ/min
= 37.14 ℓ/min
≈ 37.1 ℓ/min (Correct to 1 decimal place)
Answer(s): 37.1 ℓ/min