To fill an empty tank all filling pipes A B C and D are opened one by one in same order A and C are ...........

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	-

To fill an empty tank all filling pipes A, B, C and D are opened one by one in same order. A and C are opened for 4 minutes each while B and D for 5 minutes each. In this way, in how much time the tank will be filled (approximately)?

30 minutes

32 minutes

27 minutes

22 minutes

35 minutes

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Explanation:

A for 4 minutes = 1/24 * 4 = 1/6
B for 5 minutes = 1/25 * 5 = 1/5
C for 4 minutes = 1/48 * 4 = 1/12
D for 5 minutes = 1/40 * 5 = 1/8
So in 18 minutes (4+5+4+5),

tank filled is 1/6 + 1/5 + 1/12 + 1/8 = 23/40
Next A’s turn for 4 minutes = 1/6
Next B’s turn for 5 minutes = 1/5
Filled now = 23/40 + 1/6 + 1/5 = 113/120
Now 7/120 is left
Now C’s turn, full tank in 48 minutes,

so 7/120 in 48 * 7/120 = 14/5 minutes
So total = 18 + 4 + 5+ 14/5 = 27 + 3 = 30 mins approx

Hence, option 1 is the correct answer.