A rectangular tank measuring 88 cm by 52 cm by 30 cm was to be filled with water by two taps, Y and Z. Tap Y which fills the tank at a rate of 6 ℓ per minute was first turned on for 4 minutes before Tap Z was turned on as well. If the tank was filled to the brim in a total of 6 minutes from the time when Tap Y was first turned on, what is the rate at which Tap Z fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the tank
= 88 x 52 x 30
= 137280 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap Y
= 6000 x 6
= 36000 cm
3 Volume of water filled by Tap Z
= 137280 - 36000
= 101280 cm
3 Rate in which Tap Z fills the tank
= 101280 ÷ 2
= 50640 cm3/min
50640 mℓ/min
= 50.64 ℓ/min
≈ 50.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 50.6 ℓ/min