A rectangular tank measuring 83 cm by 52 cm by 24 cm was to be filled with water by two taps, D and E. Tap D which fills the tank at a rate of 5 ℓ per minute was first turned on for 4 minutes before Tap E was turned on as well. If the tank was filled to the brim in a total of 6 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 tank
= 83 x 52 x 24
= 103584 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap D
= 5000 x 6
= 30000 cm
3 Volume of water filled by Tap E
= 103584 - 30000
= 73584 cm
3 Rate in which Tap E fills the tank
= 73584 ÷ 2
= 36792 cm3/min
36792 mℓ/min
= 36.792 ℓ/min
≈ 36.8 ℓ/min (Correct to 1 decimal place)
Answer(s): 36.8 ℓ/min