A rectangular tank measuring 89 cm by 55 cm by 28 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 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 tank
= 89 x 55 x 28
= 137060 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap D
= 5000 x 5
= 25000 cm
3 Volume of water filled by Tap E
= 137060 - 25000
= 112060 cm
3 Rate in which Tap E fills the tank
= 112060 ÷ 1
= 112060 cm3/min
112060 mℓ/min
= 112.06 ℓ/min
≈ 112.1 ℓ/min (Correct to 1 decimal place)
Answer(s): 112.1 ℓ/min