Water flows into a tank through Tap P and flows out of the container through Tap Q. The capacity of a tank is 54 litres. When only Tap P is turned on, the container is completely filled in 12 minutes. When only Tap Q is turned on, it takes
13 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 64% of the tank?
- How much water has flowed out through Tap Q by the time the tank is 25 filled with water? Express your answer in litres.
(a)
Tap P :
12 min → 1 tank
1 min →
112 tank
13 hour =
13 x 60 = 20 min
Tap Q:
20 min → 1 tank
1 min →
120 tank
Tap P and Tap Q:
1 min →
112 -
120 =
560 -
360 =
130 tank
1 tank →
301 = 30 min
64% tank → 64% x 30 = 19.2 min
(b)
Time taken to fill
25 of the tank
1 tank → 30 min
25 tank → 30 x
25 = 12 min
Volume that flows out per min
=
120 tank
=
120 x 54
= 2.7 ℓ
Volume of water that flowed out through Tap Q in 12 min
= 12 x 2.7
= 32.4 ℓ
Answer(s): (a) 19.2 min; (b) 32.4 ℓ