SATHEE: Quantitative Aptitude Ques 676

Quantitative Aptitude Ques 676

Question: A streamer goes downstream from one port to another in 4 h. It covers the same distance upstream in 5 h. If the speed of stream is 2 km/h, then the distance between the two ports is

Options:

A) 50 km

B) 60 km

C) 70 km

D) 80 km

Show Answer

Answer:

Correct Answer: D

Solution:

Let the distance between two ports be $ xkm. $ Let the speed of streamer in still water $ =ykm/h $

$ \therefore $ $ \frac{x}{y+2}=4 $ (i) and $ \frac{x}{y-2}=5 $ (ii)
From Eqs. (i) and (ii), we get $ 4,(y+2)=5,(y-2) $

$ \Rightarrow $ $ 4y+8=5y-10 $

$ \Rightarrow $ $ 5y-4y=10+8 $
$ \Rightarrow $ $ y=18\text{km/h} $ From Eq. (i), we get $ \frac{x}{18+2}=4 $
$ \Rightarrow $ $ x=4\times 20=80km $

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Quantitative Aptitude Ques 676

Question: A streamer goes downstream from one port to another in 4 h. It covers the same distance upstream in 5 h. If the speed of stream is 2 km/h, then the distance between the two ports is

Options:

Answer:

Solution:

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