There are three pipes A B and C where A and B are inlet pipes while C is outlet pipe Find the time t...........

Quantitative Aptitude ( CCS) Data Sufficiency

There are three pipes A,B and C, where A and B are inlet pipes while C is outlet pipe. Find the time taken to fill or empty the tank if A and C are opened.

Statement I: Pipes A and B are opened together can fill the tank in 24 min. while and pipe C is 50% less efficient than pipe B.

Statement II: Capacity of tank is 960 litres and rate of flow of pipe B is 24 litres/min.

Both are necessary

Only Statement II

Either I or II

Both are not sufficient

Only Statement I

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Explanation:

Combining these two Statement I and II, we get
1/A + 1/B = 1/24
=> 1/A + 1/40 = 1/24
=> A = 60 minutes
Time taken by pipe C to fill the tank = 40/0.5 = 80 min.
Required time = (60*80)/(80 – 60) = 240 minutes
Both the statements are necessary.

Hence, option 1 is the correct answer.