A rectangular tank measuring 77 cm by 52 cm by 25 cm was to be filled with water by two taps, V and W. Tap V which fills the tank at a rate of 5 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 5 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 tank
= 77 x 52 x 25
= 100100 cm
3 1 ℓ = 1000 cm
3 5 ℓ = 5000 cm
3 Volume of water filled by Tap V
= 5000 x 5
= 25000 cm
3 Volume of water filled by Tap W
= 100100 - 25000
= 75100 cm
3 Rate in which Tap W fills the tank
= 75100 ÷ 2
= 37550 cm3/min
37550 mℓ/min
= 37.55 ℓ/min
≈ 37.6 ℓ/min (Correct to 1 decimal place)
Answer(s): 37.6 ℓ/min