Water flows into a tank through Tap P and flows out of the container through Tap Q. The capacity of a tank is 52 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 62% of the tank?
- How much water has flowed out through Tap Q by the time the tank is 45 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
62% tank → 62% x 30 = 18.6 min
(b)
Time taken to fill
45 of the tank
1 tank → 30 min
45 tank → 30 x
45 = 24 min
Volume that flows out per min
=
120 tank
=
120 x 52
= 2.6 ℓ
Volume of water that flowed out through Tap Q in 24 min
= 24 x 2.6
= 62.4 ℓ
Answer(s): (a) 18.6 min; (b) 62.4 ℓ