A rectangular container measuring 89 cm by 53 cm by 32 cm was to be filled with water by two taps, X and Y. Tap X which fills the tank at a rate of 6 ℓ per minute was first turned on for 2 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 container
= 89 x 53 x 32
= 150944 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap X
= 6000 x 6
= 36000 cm
3 Volume of water filled by Tap Y
= 150944 - 36000
= 114944 cm
3 Rate in which Tap Y fills the container
= 114944 ÷ 4
= 28736 cm3/min
28736 mℓ/min
= 28.736 ℓ/min
≈ 28.7 ℓ/min (Correct to 1 decimal place)
Answer(s): 28.7 ℓ/min