Sun	Mon	Tue	Wed	Thu	Fri	Sat
23	24	25	26	27	28	1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	31	1	2	3	4	5

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Multiple Choice Questions

There was some garbage in a tank To remove the garbage pipes A and R worked alternately for 3 minute...........

Quantitative Aptitude (CPO) 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

There was some garbage in a tank. To remove the garbage, pipes A and R worked alternately for 3 minutes each starting with A. The procedure continued for 24 minutes, after which pipes A and D were opened to fill the tank. If the tank was filled in next 7 minutes, find the time in which pipe R can empty the full tank.

24 minutes

28 minutes

18 minutes

20 minutes

32 minutes

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Explanation:

Procedure continued for 24 minutes,

so pipes A and R both worked for 12 minutes each, giving 3 minutes each in turn.
So in 12 minutes, pipe A’s work = 1/15 *12 = 4/5
In 12 minutes, pipe R’s work = 1/x *12 = 12/x

[Let x = time in which pipe R can empty the tank]
Now A and D worked for 7 minutes, so their work in 7 minutes = (1/15 + 1/30) * 7 = 7/10
So
4/5 – 12/x + 7/10 = 1
Solve, x = 24 minutes

Hence, option 1 is the correct answer.

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