A rectangular tank measuring 87 cm by 55 cm by 32 cm was to be filled with water by two taps, U and V. Tap U which fills the tank at a rate of 8 ℓ per minute was first turned on for 2 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
= 87 x 55 x 32
= 153120 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap U
= 8000 x 6
= 48000 cm
3 Volume of water filled by Tap V
= 153120 - 48000
= 105120 cm
3 Rate in which Tap V fills the tank
= 105120 ÷ 4
= 26280 cm3/min
26280 mℓ/min
= 26.28 ℓ/min
≈ 26.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 26.3 ℓ/min