SATHEE: Quantitative Aptitude Ques 718

Quantitative Aptitude Ques 718

Question: A boat travels upstream from P to Q and downstream from Q to P in 3 h. If the speed of the boat in still water is 9 km/h and the speed of the current is 3 km/h, then what is the distance from P to Q?

Options:

A) 14 km

B) 8 km

C) 12 km

D) 6 km

Show Answer

Answer:

Correct Answer: C

Solution:

Distance between P and Q $ =\frac{T,(x^{2}-y^{2})}{2x}=\frac{3,(9^{2}-3^{2})}{2\times 9} $ [here, $ x=9, $ $ y=3 $ and $ T=3 $ ] $ =\frac{3\times (81-9)}{18}=\frac{3\times 72}{18}=12km $ Alternate Method Speed of stream $ =3km/h $ Speed of boat in still water $ =9km/h $

$ \therefore $ Speed in upstream $ =9-3=6km/h $ Speed in downstream $ =9+3=12km/h $ According to the question, $ \frac{x}{6}+\frac{x}{12}=3 $
$ \Rightarrow $ $ \frac{2x+x}{12}=3 $

$ \Rightarrow $ $ 3x=36 $
$ \Rightarrow $ $ x=12km $

Quantitative Aptitude Ques 717

Quantitative Aptitude Ques 719

Quantitative Aptitude Ques 718

Question: A boat travels upstream from P to Q and downstream from Q to P in 3 h. If the speed of the boat in still water is 9 km/h and the speed of the current is 3 km/h, then what is the distance from P to Q?

Options:

Answer:

Solution:

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