To fill a tank pipes A and C were opened at 2 10 PM After 5 minutes pipe A was closed and at the sam...........

Quantitative Aptitude ( CCS) Data Table

Direction : Study the following table to answer the questions that follow. Some values are missing. Study the table carefully and answer the questions based on data in table and particular questions.

Pipes	Time taken to fill the tank (in min.)	Pipes	Time Taken to empty the tank (in min.)
A	15	P	20
B		Q	16
C	25	R
D	30	S

To fill a tank, pipes A and C were opened at 2:10 PM. After 5 minutes pipe A was closed and at the same time pipe P got opened. After some time it was found that tank was 2/3rd empty, at what time it was observed?

2:32 PM

2:30 PM

2:27 PM

2:35 PM

2:20 PM

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Explanation:

A and C work for 5 minutes – (1/15 + 1/25) * 5 = 8/15 tank fill
Now A was closed and C and P work
In 1 minute they work = (1/25 – 1/20) = -1/100 — means empty
let they C and P work for x minutes up to when tank was found 2/3rd empty
So
8/15 + (-1/100)*x = 1/3 …. [ 1/3rd tank is fill at this time]
Solve, x = 20 mins
So the time when 2/3rd empty tank was observed – 2:10 + 5 minutes + 20 minutes = 2:35 PM

Hence, option 4 is the correct answer.