A rectangular container measuring 77 cm by 58 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 5 ℓ per minute was first turned on for 4 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
= 77 x 58 x 26
= 116116 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap T
= 5000 x 5
= 25000 cm
3 Volume of water filled by Tap U
= 116116 - 25000
= 91116 cm
3 Rate in which Tap U fills the container
= 91116 ÷ 1
= 91116 cm3/min
91116 mℓ/min
= 91.116 ℓ/min
≈ 91.1 ℓ/min (Correct to 1 decimal place)
Answer(s): 91.1 ℓ/min