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Shivam kumar

· started a discussion

· 1 Months ago

solution is not satisfactory (Question:84730.0)

question is saying that leak pipe drains out one third of filled water i.e., one third of one third id leaked out and not one third of whole

Question:
Two pipes can fill the tank in 20 hours and 30 hours respectively. Both the pipe are opened to fill the tank but when the tank is \(\cfrac{1}{3}\) full a leak developed in the tank through which \(\cfrac{1}{3}\) of the water supplied by both the pipes leak out. What is the total time taken to fill the tank?
Options:
A) 15 hours.
B) 14 hours.
C) 16 hours. 
D) None of these.
Solution:
Ans: (c) Time taken by two pipes to fill the tank = \(\cfrac{20\times30}{20+30}\)  = 12 hours.

\(\cfrac{1}{3}\) of the tank is filled in \(\cfrac{12}{3}\) = 4 hours.

 Now,\(\cfrac{1}{3}\) supplied water takes out

⇒ The filler pipe are only 1 \(-\cfrac{1}{3}=\cfrac{2}{3}\) as efficient as earlies.

⇒ The work of (12 – 4) = 8 hours will be completed now in

Total time= 4 + 12 = 16 hours.

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