A rectangular container measuring 87 cm by 54 cm by 34 cm was to be filled with water by two taps, V and W. Tap V which fills the tank at a rate of 6 ℓ per minute was first turned on for 2 minutes before Tap W was turned on as well. If the tank was filled to the brim in a total of 6 minutes from the time when Tap V was first turned on, what is the rate at which Tap W fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the container
= 87 x 54 x 34
= 159732 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap V
= 6000 x 6
= 36000 cm
3 Volume of water filled by Tap W
= 159732 - 36000
= 123732 cm
3 Rate in which Tap W fills the container
= 123732 ÷ 4
= 30933 cm3/min
30933 mℓ/min
= 30.933 ℓ/min
≈ 30.9 ℓ/min (Correct to 1 decimal place)
Answer(s): 30.9 ℓ/min