A rectangular container measuring 84 cm by 57 cm by 33 cm was to be filled with water by two taps, N and P. Tap N which fills the tank at a rate of 5 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 container
= 84 x 57 x 33
= 158004 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap N
= 5000 x 5
= 25000 cm
3 Volume of water filled by Tap P
= 158004 - 25000
= 133004 cm
3 Rate in which Tap P fills the container
= 133004 ÷ 2
= 66502 cm3/min
66502 mℓ/min
= 66.502 ℓ/min
≈ 66.5 ℓ/min (Correct to 1 decimal place)
Answer(s): 66.5 ℓ/min