Question
A tap fills one half of a bottle in 1 minute. Three fourth of the remaining in next 1 minute. If the remaining volume is 7m3, then find the volume of the bottle.
[4 MARKS]
Answer: Option A
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Steps: [2 Marks]
Application: [1 Mark]
Answer: [1 Mark]
Let the total volume of the bottle be Vm3
Volume filled in the first minute is V2
Volume of the bottle remaining=V−V2=V2
Volume filled in the second minute is (34)×(V2) m3
Volume filled in the third minute is V−(V2)−(34)×(V2)
=(V8) m3
Then the remaining volume =7 m3
(V8)=7
V=56 m3
The volume of the bottle is 56 m3
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