Pipes A C and D are opened to fill a tank After 10 minutes A and D were closed and C had to fill the...........

Quantitative Aptitude ( CCS) Data Table

Directions : The given tables show the time taken by filling and emptying pipes to fill and empty a tank respectively. Some data is missing. Study the table carefully and answer the questions based on data in table and particular questions.

Filling Pipe		Emptying Pipe
Pipe	Time	Pipe	Time
A	24	P	60
B	25	Q	72
C	48	R	-
D	40	S	-

Pipes A, C and D are opened to fill a tank. After 10 minutes A and D were closed and C had to fill the remaining tank. But accidentally at the same time pipe Q was also opened which was closed after 3 minutes. Now C filled the tank. If pipe Q was not opened, how much time would have been saved?

1 minute

5 minutes

3 minutes

4 minutes

2 minutes

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Explanation:

A+C+D = 1/24 + 1/48 + 1/40 = 7/80
Worked for 10 minutes, so filled 7/80 * 10 = 7/8th of tank
Now C and Q are opened for 3 minutes — (1/48 – 1/72)* 3 = 1/48th filled now
So 7/8 + 1/48 + 1/48 *x = 1
Solve, x = 5 minutes
So total time = 10+3+5 = 18 minutes
If Q was not opened::
1/8th of tank was to be filled by C
So 1/48 * u = 1/8,
Solve, u = 6
So total time here = 10+6 = 16 minutes
So time that would have been saved = 18-16 = 2 minutes

Hence, option 5 is the correct answer.