A rectangular tank measuring 71 cm by 60 cm by 27 cm was to be filled with water by two taps, U and V. Tap U which fills the tank at a rate of 7 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 6 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 tank
= 71 x 60 x 27
= 115020 cm
3 1 ℓ = 1000 cm
3 7 ℓ = 7000 cm
3 Volume of water filled by Tap U
= 7000 x 6
= 42000 cm
3 Volume of water filled by Tap V
= 115020 - 42000
= 73020 cm
3 Rate in which Tap V fills the tank
= 73020 ÷ 3
= 24340 cm3/min
24340 mℓ/min
= 24.34 ℓ/min
≈ 24.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 24.3 ℓ/min