A rectangular container measuring 77 cm by 58 cm by 38 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
= 77 x 58 x 38
= 169708 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
= 169708 - 40000
= 129708 cm
3 Rate in which Tap U fills the container
= 129708 ÷ 3
= 43236 cm3/min
43236 mℓ/min
= 43.236 ℓ/min
≈ 43.2 ℓ/min (Correct to 1 decimal place)
Answer(s): 43.2 ℓ/min