A rectangular tank measuring 73 cm by 55 cm by 26 cm was to be filled with water by two taps, S and T. Tap S which fills the tank at a rate of 7 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 tank
= 73 x 55 x 26
= 104390 cm
3 1 ℓ = 1000 cm
3 7 ℓ = 7000 cm
3 Volume of water filled by Tap S
= 7000 x 5
= 35000 cm
3 Volume of water filled by Tap T
= 104390 - 35000
= 69390 cm
3 Rate in which Tap T fills the tank
= 69390 ÷ 3
= 23130 cm3/min
23130 mℓ/min
= 23.13 ℓ/min
≈ 23.1 ℓ/min (Correct to 1 decimal place)
Answer(s): 23.1 ℓ/min