Pipes B and D are to fill the tank They both are opened After 8 minutes pipe R was also opened It to...........

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 B and D are to fill the tank. They both are opened. After 8 minutes pipe R was also opened. It took 3 11/39 minutes more to fill the tank. In how much time pipe R can empty the tank?

24 minutes

48 minutes

50 minutes

60 minutes

72 minutes

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Explanation:

B+D = 1/25 + 1/40 = 13/200
Worked for 8 minutes, so did 13/200 * 8 = 13/25 work
So 200/13 – 8 = 96/13 minutes left to complete work,
But after R was opened, it took 3 11/39 minutes more,

means total 96/13 + 128/39 = 416/39 = 32/3 minutes
So now B+D – R
13/25 + (13/200 – 1/R) * 32/3 = 1
Solve, x = 50 minutes

Hence, option 3 is the correct answer.