SATHEE: Quantitative Aptitude Ques 1828

Quantitative Aptitude Ques 1828

Question: A, B and C are situated at the bank of river which is flowing at a constant rate. B is at an equal distance with A and C. A swimmer Avinash takes 10 h to swim from A to B and B to A. Also, he takes 4 h to swim from A to C. What is the ratio of speed of Avinash in still water and speed of stream?

Options:

A) 5 : 3

B) 3 : 5

C) 2 : 5

D) 1: 2

Show Answer

Answer:

Correct Answer: A

Solution:

Let speed of Avinash in still water be a km/h and speed of stream be b km/h. Let $ AB=BC=xkm $ From first condition, $ \frac{x}{a+b}+\frac{x}{a-b}=10 $ … (i) From second condition,

$ \Rightarrow $ $ \frac{x}{a+b}=2 $ (ii) On putting the value in Eq. (i), we get $ 2+\frac{x}{a-b}=10 $

$ \Rightarrow $ $ \frac{x}{a-b}=8 $ (ii) On dividing Eq. (iii) by Eq. (ii), we get $ \frac{a+b}{a-b}=\frac{8}{2}=4 $

$ \Rightarrow $ $ a+b=4a-4b $
$ \Rightarrow $ $ 3a=5b $

$ \therefore $ $ a:b=5:3 $

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