Water flows into a container through Tap A and flows out of the container through Tap B. The capacity of a container is 54 litres. When only Tap A is turned on, the container is completely filled in 14 minutes. When only Tap B 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 52% of the container?
- How much water has flowed out through Tap B by the time the container is 45 filled with water? Express your answer in litres.
(a)
Tap A :
14 min → 1 container
1 min →
114 container
14 hour =
14 x 60 = 15 min
Tap B:
15 min → 1 container
1 min →
115 container
Tap A and Tap B:
1 min →
114 -
115 =
15210 -
14210 =
1210 container
1 container →
2101 = 210 min
52% container → 52% x 210 = 109.2 min
(b)
Time taken to fill
45 of the container
1 container → 210 min
45 container → 210 x
45 = 168 min
Volume that flows out per min
=
115 container
=
115 x 54
= 3.6 ℓ
Volume of water that flowed out through Tap B in 168 min
= 168 x 3.6
= 604.8 ℓ
Answer(s): (a) 109.2 min; (b) 604.8 ℓ