A rectangular tank measuring 75 cm by 60 cm by 29 cm was to be filled with water by two taps, M and N. Tap M which fills the tank at a rate of 8 ℓ per minute was first turned on for 3 minutes before Tap N was turned on as well. If the tank was filled to the brim in a total of 7 minutes from the time when Tap M was first turned on, what is the rate at which Tap N fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the tank
= 75 x 60 x 29
= 130500 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap M
= 8000 x 7
= 56000 cm
3 Volume of water filled by Tap N
= 130500 - 56000
= 74500 cm
3 Rate in which Tap N fills the tank
= 74500 ÷ 4
= 18625 cm3/min
18625 mℓ/min
= 18.625 ℓ/min
≈ 18.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 18.6 ℓ/min