A rectangular tank measuring 87 cm by 58 cm by 26 cm was to be filled with water by two taps, K and L. Tap K which fills the tank at a rate of 6 ℓ per minute was first turned on for 3 minutes before Tap L was turned on as well. If the tank was filled to the brim in a total of 6 minutes from the time when Tap K was first turned on, what is the rate at which Tap L fills the tank? Give your answer in ℓ per minute correct to 1 decimal place.
Total volume of the tank
= 87 x 58 x 26
= 131196 cm
3 1 ℓ = 1000 cm
3 6 ℓ = 6000 cm
3 Volume of water filled by Tap K
= 6000 x 6
= 36000 cm
3 Volume of water filled by Tap L
= 131196 - 36000
= 95196 cm
3 Rate in which Tap L fills the tank
= 95196 ÷ 3
= 31732 cm3/min
31732 mℓ/min
= 31.732 ℓ/min
≈ 31.7 ℓ/min (Correct to 1 decimal place)
Answer(s): 31.7 ℓ/min