Water flows into a tank through Tap G and flows out of the container through Tap H. The capacity of a tank is 66 litres. When only Tap G is turned on, the container is completely filled in 12 minutes. When only Tap H 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 66% of the tank?
- How much water has flowed out through Tap H by the time the tank is 45 filled with water? Express your answer in litres.
(a)
Tap G :
12 min → 1 tank
1 min →
112 tank
14 hour =
14 x 60 = 15 min
Tap H:
15 min → 1 tank
1 min →
115 tank
Tap G and Tap H:
1 min →
112 -
115 =
560 -
460 =
160 tank
1 tank →
601 = 60 min
66% tank → 66% x 60 = 39.6 min
(b)
Time taken to fill
45 of the tank
1 tank → 60 min
45 tank → 60 x
45 = 48 min
Volume that flows out per min
=
115 tank
=
115 x 66
= 4.4 ℓ
Volume of water that flowed out through Tap H in 48 min
= 48 x 4.4
= 211.2 ℓ
Answer(s): (a) 39.6 min; (b) 211.2 ℓ