Water flows into a tank through Tap T and flows out of the container through Tap U. The capacity of a tank is 48 litres. When only Tap T is turned on, the container is completely filled in 14 minutes. When only Tap U is turned on, it takes
14 hour for all the water to flow out. If both taps are turned on at the same time,
- How long does it take to fill 60% of the tank?
- How much water has flowed out through Tap U by the time the tank is 45 filled with water? Express your answer in litres.
(a)
Tap T :
14 min → 1 tank
1 min →
114 tank
14 hour =
14 x 60 = 15 min
Tap U:
15 min → 1 tank
1 min →
115 tank
Tap T and Tap U:
1 min →
114 -
115 =
15210 -
14210 =
1210 tank
1 tank →
2101 = 210 min
60% tank → 60% x 210 = 126 min
(b)
Time taken to fill
45 of the tank
1 tank → 210 min
45 tank → 210 x
45 = 168 min
Volume that flows out per min
=
115 tank
=
115 x 48
= 3.2 ℓ
Volume of water that flowed out through Tap U in 168 min
= 168 x 3.2
= 537.6 ℓ
Answer(s): (a) 126 min; (b) 537.6 ℓ