Water flows into a tank through Tap C and flows out of the container through Tap D. The capacity of a tank is 48 litres. When only Tap C is turned on, the container is completely filled in 12 minutes. When only Tap D 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 D by the time the tank is 35 filled with water? Express your answer in litres.
(a)
Tap C :
12 min → 1 tank
1 min →
112 tank
14 hour =
14 x 60 = 15 min
Tap D:
15 min → 1 tank
1 min →
115 tank
Tap C and Tap D:
1 min →
112 -
115 =
560 -
460 =
160 tank
1 tank →
601 = 60 min
60% tank → 60% x 60 = 36 min
(b)
Time taken to fill
35 of the tank
1 tank → 60 min
35 tank → 60 x
35 = 36 min
Volume that flows out per min
=
115 tank
=
115 x 48
= 3.2 ℓ
Volume of water that flowed out through Tap D in 36 min
= 36 x 3.2
= 115.2 ℓ
Answer(s): (a) 36 min; (b) 115.2 ℓ