A rectangular tank measuring 73 cm by 50 cm by 37 cm was to be filled with water by two taps, S and T. Tap S which fills the tank at a rate of 5 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 tank
= 73 x 50 x 37
= 135050 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap S
= 5000 x 6
= 30000 cm
3 Volume of water filled by Tap T
= 135050 - 30000
= 105050 cm
3 Rate in which Tap T fills the tank
= 105050 ÷ 2
= 52525 cm3/min
52525 mℓ/min
= 52.525 ℓ/min
≈ 52.5 ℓ/min (Correct to 1 decimal place)
Answer(s): 52.5 ℓ/min