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Multiple Choice Questions

Pipe D was to fill a tank To increase its efficiency pipe A and C were opened for 2 minutes each sta...........

Quantitative Aptitude(IBPS RRB PO) 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	-

Pipe D was to fill a tank. To increase its efficiency, pipe A and C were opened for 2 minutes each starting with pipe A, then C and so on. This procedure ran for 16 minutes, after which pipe A and C were closed. Accidentally pipe S was opened and now it took 4 minutes more to fill the tank. Find in how much time pipe S can empty 3/40th of tank.

11 minutes

12 minutes

3 minutes

7 minutes

6 minutes

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Explanation:

For 2 minutes A and D. So
(1/24 + 1/40)* 2= 2/15
For next 2 minutes C and D. So
(1/48 + 1/40)* 2= 11/120
So in 4 minutes — 2/15 + 11/120 = 9/40
Procedure ran for 16 minutes, so multiply by 4 both sides
In 16 minutes, tank filled = 9/40 * 4 = 9/10
Now 1/10 tank left which D can fill in 4 minutes,

but with D and S opened, took 4 more minutes, so 8 minutes
So (1/40 – 1/x) * 8 = 1/10
Solve, x = 80 minutes
Full tank in 80 minutes so 3/40th in 3/40 * 80 = 6 minutes

Hence, option 5 is the correct answer.

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