Water flows into a container through Tap W and flows out of the container through Tap X. The capacity of a container is 66 litres. When only Tap W is turned on, the container is completely filled in 14 minutes. When only Tap X 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 88% of the container?
- How much water has flowed out through Tap X by the time the container is 35 filled with water? Express your answer in litres.
(a)
Tap W :
14 min → 1 container
1 min →
114 container
14 hour =
14 x 60 = 15 min
Tap X:
15 min → 1 container
1 min →
115 container
Tap W and Tap X:
1 min →
114 -
115 =
15210 -
14210 =
1210 container
1 container →
2101 = 210 min
88% container → 88% x 210 = 184.8 min
(b)
Time taken to fill
35 of the container
1 container → 210 min
35 container → 210 x
35 = 126 min
Volume that flows out per min
=
115 container
=
115 x 66
= 4.4 ℓ
Volume of water that flowed out through Tap X in 126 min
= 126 x 4.4
= 554.4 ℓ
Answer(s): (a) 184.8 min; (b) 554.4 ℓ