A rectangular container measuring 88 cm by 50 cm by 37 cm was to be filled with water by two taps, Y and Z. Tap Y which fills the tank at a rate of 8 ℓ per minute was first turned on for 2 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 container
= 88 x 50 x 37
= 162800 cm
3 1 ℓ = 1000 cm
3 8 ℓ = 8000 cm
3 Volume of water filled by Tap Y
= 8000 x 6
= 48000 cm
3 Volume of water filled by Tap Z
= 162800 - 48000
= 114800 cm
3 Rate in which Tap Z fills the container
= 114800 ÷ 4
= 28700 cm3/min
28700 mℓ/min
= 28.7 ℓ/min
≈ 28.7 ℓ/min (Correct to 1 decimal place)
Answer(s): 28.7 ℓ/min