A rectangular tank measuring 82 cm by 57 cm by 25 cm was to be filled with water by two taps, N and P. Tap N which fills the tank at a rate of 6 ℓ per minute was first turned on for 3 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 57 x 25
= 116850 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap N
= 6000 x 5
= 30000 cm
3 Volume of water filled by Tap P
= 116850 - 30000
= 86850 cm
3 Rate in which Tap P fills the tank
= 86850 ÷ 2
= 43425 cm3/min
43425 mℓ/min
= 43.425 ℓ/min
≈ 43.4 ℓ/min (Correct to 1 decimal place)
Answer(s): 43.4 ℓ/min