A rectangular container measuring 88 cm by 52 cm by 28 cm was to be filled with water by two taps, W and X. Tap W which fills the tank at a rate of 5 ℓ per minute was first turned on for 3 minutes before Tap X was turned on as well. If the tank was filled to the brim in a total of 7 minutes from the time when Tap W was first turned on, what is the rate at which Tap X fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 88 x 52 x 28
= 128128 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap W
= 5000 x 7
= 35000 cm
3 Volume of water filled by Tap X
= 128128 - 35000
= 93128 cm
3 Rate in which Tap X fills the container
= 93128 ÷ 4
= 23282 cm3/min
23282 mℓ/min
= 23.282 ℓ/min
≈ 23.3 ℓ/min (Correct to 1 decimal place)
Answer(s): 23.3 ℓ/min