A rectangular tank measuring 82 cm by 59 cm by 27 cm was to be filled with water by two taps, N and P. Tap N which fills the tank at a rate of 7 ℓ per minute was first turned on for 4 minutes before Tap P was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap N was first turned on, what is the rate at which Tap P fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the tank
= 82 x 59 x 27
= 130626 cm
3 1 ℓ = 1000 cm
3 7 ℓ = 7000 cm
3 Volume of water filled by Tap N
= 7000 x 5
= 35000 cm
3 Volume of water filled by Tap P
= 130626 - 35000
= 95626 cm
3 Rate in which Tap P fills the tank
= 95626 ÷ 1
= 95626 cm3/min
95626 mℓ/min
= 95.626 ℓ/min
≈ 95.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 95.6 ℓ/min