A rectangular tank measuring 70 cm by 58 cm by 23 cm was to be filled with water by two taps, S and T. Tap S which fills the tank at a rate of 8 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 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
= 70 x 58 x 23
= 93380 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap S
= 8000 x 5
= 40000 cm
3 Volume of water filled by Tap T
= 93380 - 40000
= 53380 cm
3 Rate in which Tap T fills the tank
= 53380 ÷ 2
= 26690 cm3/min
26690 mℓ/min
= 26.69 ℓ/min
≈ 26.7 ℓ/min (Correct to 1 decimal place)
Answer(s): 26.7 ℓ/min