SATHEE: Quantitative Aptitude Ques 8

Quantitative Aptitude Ques 8

Question: A boat takes 19 h for travelling downstream from point A to point B and coming back to a point C mid-way between A and B. If the velocity of the stream is 4 km/h and the speed of the boat in still water is 14 km/h, what is the distance between A and B?

Options:

A) 160 km

B) 180 km

C) 200 km

D) 220 km

Show Answer

Answer:

Correct Answer: B

Solution:

Speed downstream $ =(14+4),km/h=18,km/h $ Speed upstream $ =(14-4),km/h=10,km/h $ Let the distance between A and B be x km. Then, $ \frac{x}{18}+\frac{(x/2)}{10}=19 $

$ \Rightarrow $ $ \frac{x}{18}+\frac{x}{20}=19 $

$ \Rightarrow $ $ \frac{19x}{180}=19 $

$ \Rightarrow $ $ x=180,km $

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Quantitative Aptitude Ques 8

Question: A boat takes 19 h for travelling downstream from point A to point B and coming back to a point C mid-way between A and B. If the velocity of the stream is 4 km/h and the speed of the boat in still water is 14 km/h, what is the distance between A and B?

Options:

Answer:

Solution:

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