A rectangular container measuring 86 cm by 56 cm by 24 cm was to be filled with water by two taps, V and W. Tap V which fills the tank at a rate of 7 ℓ per minute was first turned on for 3 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
= 86 x 56 x 24
= 115584 cm
3 1 ℓ = 1000 cm
3 7 ℓ = 7000 cm
3 Volume of water filled by Tap V
= 7000 x 6
= 42000 cm
3 Volume of water filled by Tap W
= 115584 - 42000
= 73584 cm
3 Rate in which Tap W fills the container
= 73584 ÷ 3
= 24528 cm3/min
24528 mℓ/min
= 24.528 ℓ/min
≈ 24.5 ℓ/min (Correct to 1 decimal place)
Answer(s): 24.5 ℓ/min