SATHEE: Quantitative Aptitude Ques 59

Quantitative Aptitude Ques 59

Question: Two pipes A and B can fill a tank in 15 min and 20 min, respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank? [FCI (Assistant) Grade III 2015]

Options:

A) 12 min 40 s

B) 11 min 35 s

C) 14 min 40 s

D) 13 min 35 s

Show Answer

Answer:

Correct Answer: C

Solution:

Part filled by both in 1 min $ =\frac{1}{15}+\frac{1}{20}=\frac{4+3}{60}=\frac{7}{60} $ Now, part filled in 4 min $ =4\times \frac{7}{60}=\frac{7}{15} $

$ \therefore $ Remaining part $ =1-\frac{7}{15}=\frac{8}{15} $ Now, let the remaining part is filled by pipe B in x min. Then, $ x\times \frac{1}{20}=\frac{8}{15} $

$ \Rightarrow $ $ x=\frac{8\times 20}{15}=\frac{8\times 4}{3} $

$ \Rightarrow $ $ x=\frac{32}{3}=10\frac{2}{3}=( 10+\frac{2}{3} )\min $

$ \Rightarrow $ $ x=10+\frac{2}{3}\times 60 $ $ x=10\min ,+40=,10\min 40,s $

$ \therefore $ Total time taken to fill tank $ =4\min +10\min 40,s $ $ =14\min 40,s $

Quantitative Aptitude Ques 58

Quantitative Aptitude Ques 60

Quantitative Aptitude Ques 59

Question: Two pipes A and B can fill a tank in 15 min and 20 min, respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank? [FCI (Assistant) Grade III 2015]

Options:

Answer:

Solution:

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