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Ambarish Gupta

· started a discussion

· 1 Months ago

please solve question in a proper way (Question: 275765.0 )

ok

Question:

A drain pipe can drain a tank in 12 hours and a fill pipe can fill the same tank in 6 hours. A total of x pipes, which include a few fill pipes and the remaining drain pipes can fill the entire tank in 2 hours. How many of the following values could ‘x’ take?

Options:
A)

20

B)

16

C)

33

D)

13

Solution:

Ans: (c)

Filled pipe can filled tank in 6 hrs.

Drain pipe can drained the tank in 12 hrs.

So, the ratio is 2 : 1 of filled and drainage.

And the n is should be multiple of 3 only C answer can fulfill the condition.

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Explanation-

two drain pipes can drain the same volume that one fill pipe fills. This means that a D-D-F combination has to have a net volume effect of 0.

In spite of this, the tank still gets filled. Only the fill pipes can manage to fill the tank. In addition to all the net zero effect pipes, we need three more fill pipes in order to fill the tank in 2 hours.

So, we can have as many D-D-Fs as we want, but we need one F-F-F at the end to ensure that the tank gets filled in 2 hours.

So the number of pipes will be → (D – D - F).......(D – D - F) + (F – F - F).

The number of pipes has to be a multiple of 3. thus option (c) is required answer.

Keep learning keep solving.
Best wishes
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