Quantitative Aptitude Ques 83

Question: A man rows 12 km in 5 h against the stream, the speed of current being 4 km/h. What time will be taken by him to row 15 km with the stream?

Options:

A) $ 1,h26\frac{7}{13}\min $

B) $ 1,h25\frac{7}{13}\min $

C) $ 1,h24\frac{7}{13}\min $

D) $ 1,h27\frac{7}{13}\min $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the speed of boat be x km/h, Speed of upstream be $ (x-4)km/h. $ According to the question, $ \frac{12}{x-4}=5 $

$ \Rightarrow $ $ 12=5x-20 $
$ \Rightarrow $ $ x=\frac{32}{5}km/h $

$ \therefore $ Time taken to row 15 km with the stream $ =\frac{15}{\frac{32}{5}+4}=\frac{15\times 5}{52}=\frac{75}{52} $ $ =1\frac{23}{52}\times 60=1,h26\frac{7}{13}\min $

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