11 40th of a tank was filled Pipes C and D were opened After some time pipe P was also opened Pipe P...........

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	-

11/40th of a tank was filled. Pipes C and D were opened. After some time pipe P was also opened. Pipe P was closed after time equal to the time it was opened at the starting . If after closing pipe P, the tank was filled in 6 minutes, find what fraction of tank was filled by pipe C?

7/8th

3/8th

2/7th

5/7th

None of these

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Explanation:

C+D = 1/48 + 1/40 = 11/240
Let after x minutes P was opened,

so P was opened for x minutes [as given] So
11/40 + (1/48 + 1/40) * x + (1/48 + 1/40 – 1/60)*x + (1/48 + 1/40) * 6 = 1
OR 11/40 + (1/48 + 1/40) * 2x – 1/60 * x + (1/48 + 1/40) * 6 = 1
Solve, x = 6 minutes
So C was opened for 2x+6 = 18 minutes
So filled 1/48 * 18 = 3/8 of tank

Hence, option 2 is the correct answer.