A rectangular container measuring 88 cm by 59 cm by 26 cm was to be filled with water by two taps, T and U. Tap T which fills the tank at a rate of 8 ℓ per minute was first turned on for 2 minutes before Tap U was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap T was first turned on, what is the rate at which Tap U fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 88 x 59 x 26
= 134992 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap T
= 8000 x 5
= 40000 cm
3 Volume of water filled by Tap U
= 134992 - 40000
= 94992 cm
3 Rate in which Tap U fills the container
= 94992 ÷ 3
= 31664 cm3/min
31664 mℓ/min
= 31.664 ℓ/min
≈ 31.7 ℓ/min (Correct to 1 decimal place)
Answer(s): 31.7 ℓ/min