Quantitative Aptitude Ques 1539

Question: A boat running upstream takes 5 h 12 min to cover a certain distance, while it takes 4 h to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water in current respectively?

Options:

A) 23 : 3

B) 21: 2

C) 25 : 7

D) 28 : 9

Show Answer

Answer:

Correct Answer: A

Solution:

  • (a) Let the boat upstream speed be x km/h and that downstream be y km/h. Then, distance covered upstream in 5 h 12 min.
    $ \Rightarrow $ $ ( x\times \frac{26}{5} )=y\times 4 $
    $ \Rightarrow $ $ y=\frac{13x}{10} $
    $ \therefore $ Required ratio $ =( \frac{y+x}{2} ):( \frac{y-x}{2} ) $ $ =(y+x):(y-x) $ $ =( \frac{13x}{10}+x ):( \frac{13x}{10}-x ) $ $ =\frac{23}{10}:\frac{3}{10}=23:3 $
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