A rectangular container measuring 84 cm by 57 cm by 35 cm was to be filled with water by two taps, D and E. Tap D which fills the tank at a rate of 6 ℓ per minute was first turned on for 2 minutes before Tap E was turned on as well. If the tank was filled to the brim in a total of 5 minutes from the time when Tap D was first turned on, what is the rate at which Tap E fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 84 x 57 x 35
= 167580 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap D
= 6000 x 5
= 30000 cm
3 Volume of water filled by Tap E
= 167580 - 30000
= 137580 cm
3 Rate in which Tap E fills the container
= 137580 ÷ 3
= 45860 cm3/min
45860 mℓ/min
= 45.86 ℓ/min
≈ 45.9 ℓ/min (Correct to 1 decimal place)
Answer(s): 45.9 ℓ/min