SATHEE: Quantitative Aptitude Ques 1483

Quantitative Aptitude Ques 1483

Question: A boat covers $ 25km $ upstream and $ 24km $ downstream in $ 16h $ while it covers $ 20km $ upstream and 30 km downstream in $ 15\frac{1}{2}h. $ The speed of current is

Options:

A) $ \frac{1}{2}km/h $

B) $ \frac{3}{4}km/h $

C) $ \frac{1}{8}km/h $

D) $ \frac{2}{3}km/h $

Show Answer

Answer:

Correct Answer: B

Solution:

Let the upstream speed $ =xkm/h. $ Downstream speed $ =ykm/h. $ $ \frac{25}{x}+\frac{24}{y}=16 $ (i) $ \frac{20}{x}+\frac{30}{y}=\frac{31}{2} $ (ii) Multiplying Eq. (i) by 4 and Eq. (ii) by 5 and subtracting, we get $ \frac{54}{y}=\frac{27}{2} $
$ \Rightarrow $ $ y=\frac{54\times 2}{27}=4 $ Putting $ y=4 $ in Eq. (i), we get $ x=2.5 $ Upstream speed $ =4km/h $ and downstream speed $ =2.5km/h $ Speed of current $ =\frac{1}{2}(4-2.5)=\frac{3}{4}km/h $

Quantitative Aptitude Ques 1482

Quantitative Aptitude Ques 1484

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