A tank was 2 5th full To fill it more pipe D was to be opened but accidentally pipe Q got opened Whe...........

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

A tank was 2/5th full. To fill it more, pipe D was to be opened, but accidentally pipe Q got opened. When it was noticed after 4 minutes, pipe Q was closed. And now to fill tank quickly, pipe C was opened. What time could have been saved if pipe Q was not opened?

7.45 minutes

5.35 minutes

5.25 minutes

8.35 minutes

7.25 minutes

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Explanation:

Tank was 2/5th full. So to fill 3/5th tank, D will take 3/5 * 30 = 18 minutes …………………….(1)
Now
Pipe Q was opened for 4 minutes, so it emptied = 1/16 * 4 = 1/4th tank
Now tank filled is = 2/5 – 1/4 = 3/20
Now pipe C was opened, to fill 17/20th tank, C takes = 17/20 * 25 = 85/4 = 21.25 minutes
So total time now taken to fill tank = 4 + 21.25 = 25.25 minutes ……………………..(2)
So time that could have been saved = 25.25 – 18 = 7.25 minutes

Hence, option 5 is the correct answer.