A rectangular container measuring 88 cm by 60 cm by 37 cm was to be filled with water by two taps, X and Y. Tap X which fills the tank at a rate of 9 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
= 88 x 60 x 37
= 195360 cm
3 1 ℓ = 1000 cm
3 9 ℓ = 9000 cm
3 Volume of water filled by Tap X
= 9000 x 6
= 54000 cm
3 Volume of water filled by Tap Y
= 195360 - 54000
= 141360 cm
3 Rate in which Tap Y fills the container
= 141360 ÷ 4
= 35340 cm3/min
35340 mℓ/min
= 35.34 ℓ/min
≈ 35.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 35.3 ℓ/min