A rectangular tank measuring 88 cm by 54 cm by 26 cm was to be filled with water by two taps, X and Y. Tap X which fills the tank at a rate of 8 ℓ per minute was first turned on for 3 minutes before Tap Y was turned on as well. If the tank was filled to the brim in a total of 6 minutes from the time when Tap X was first turned on, what is the rate at which Tap Y fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the tank
= 88 x 54 x 26
= 123552 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap X
= 8000 x 6
= 48000 cm
3 Volume of water filled by Tap Y
= 123552 - 48000
= 75552 cm
3 Rate in which Tap Y fills the tank
= 75552 ÷ 3
= 25184 cm3/min
25184 mℓ/min
= 25.184 ℓ/min
≈ 25.2 ℓ/min (Correct to 1 decimal place)
Answer(s): 25.2 ℓ/min