A rectangular tank measuring 73 cm by 58 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 5 ℓ per minute was first turned on for 4 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
= 73 x 58 x 27
= 114318 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap U
= 5000 x 6
= 30000 cm
3 Volume of water filled by Tap V
= 114318 - 30000
= 84318 cm
3 Rate in which Tap V fills the tank
= 84318 ÷ 2
= 42159 cm3/min
42159 mℓ/min
= 42.159 ℓ/min
≈ 42.2 ℓ/min (Correct to 1 decimal place)
Answer(s): 42.2 ℓ/min