A rectangular tank measuring 82 cm by 51 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 6 ℓ per minute was first turned on for 4 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
= 82 x 51 x 26
= 108732 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
= 108732 - 36000
= 72732 cm
3 Rate in which Tap Y fills the tank
= 72732 ÷ 2
= 36366 cm3/min
36366 mℓ/min
= 36.366 ℓ/min
≈ 36.4 ℓ/min (Correct to 1 decimal place)
Answer(s): 36.4 ℓ/min