A rectangular container measuring 84 cm by 54 cm by 38 cm was to be filled with water by two taps, U and V. Tap U which fills the tank at a rate of 6 ℓ per minute was first turned on for 3 minutes before Tap V was turned on as well. If the tank was filled to the brim in a total of 7 minutes from the time when Tap U was first turned on, what is the rate at which Tap V fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 84 x 54 x 38
= 172368 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap U
= 6000 x 7
= 42000 cm
3 Volume of water filled by Tap V
= 172368 - 42000
= 130368 cm
3 Rate in which Tap V fills the container
= 130368 ÷ 4
= 32592 cm3/min
32592 mℓ/min
= 32.592 ℓ/min
≈ 32.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 32.6 ℓ/min