Water flows into a tank through Tap P and flows out of the container through Tap Q. The capacity of a tank is 58 litres. When only Tap P is turned on, the container is completely filled in 16 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 56% of the tank?
- How much water has flowed out through Tap Q by the time the tank is 35 filled with water? Express your answer in litres.
(a)
Tap P :
16 min → 1 tank
1 min →
116 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 →
116 -
120 =
580 -
480 =
180 tank
1 tank →
801 = 80 min
56% tank → 56% x 80 = 44.8 min
(b)
Time taken to fill
35 of the tank
1 tank → 80 min
35 tank → 80 x
35 = 48 min
Volume that flows out per min
=
120 tank
=
120 x 58
= 2.9 ℓ
Volume of water that flowed out through Tap Q in 48 min
= 48 x 2.9
= 139.2 ℓ
Answer(s): (a) 44.8 min; (b) 139.2 ℓ