Water flows into a container through Tap K and flows out of the container through Tap L. The capacity of a container is 66 litres. When only Tap K is turned on, the container is completely filled in 12 minutes. When only Tap L 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 L by the time the container is 35 filled with water? Express your answer in litres.
(a)
Tap K :
12 min → 1 container
1 min →
112 container
14 hour =
14 x 60 = 15 min
Tap L:
15 min → 1 container
1 min →
115 container
Tap K and Tap L:
1 min →
112 -
115 =
560 -
460 =
160 container
1 container →
601 = 60 min
88% container → 88% x 60 = 52.8 min
(b)
Time taken to fill
35 of the container
1 container → 60 min
35 container → 60 x
35 = 36 min
Volume that flows out per min
=
115 container
=
115 x 66
= 4.4 ℓ
Volume of water that flowed out through Tap L in 36 min
= 36 x 4.4
= 158.4 ℓ
Answer(s): (a) 52.8 min; (b) 158.4 ℓ