A rectangular container measuring 82 cm by 53 cm by 27 cm was to be filled with water by two taps, T and U. Tap T which fills the tank at a rate of 6 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 6 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
= 82 x 53 x 27
= 117342 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap T
= 6000 x 6
= 36000 cm
3 Volume of water filled by Tap U
= 117342 - 36000
= 81342 cm
3 Rate in which Tap U fills the container
= 81342 ÷ 2
= 40671 cm3/min
40671 mℓ/min
= 40.671 ℓ/min
≈ 40.7 ℓ/min (Correct to 1 decimal place)
Answer(s): 40.7 ℓ/min