Quantitative Aptitude Ques 875

Question: A man goes downstream with a boat to some destination and returns upstream to his original place in 5 h. If the speed of the boat in still water and the stream are 10 km/h and 4 km/h respectively, then the distance of the destination from the starting place is

Options:

A) 16 km

B) 18 km

C) 21 km

D) 25 km

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the distance of the destination from the starting point = x km Then, the rate downstream $ =(10+4)km/h=14km/h $ and rate upstream $ =(10-4)km/h=6km/h $ According to the question, $ \frac{x}{14}+\frac{x}{6}=5 $

$ \Rightarrow $ $ \frac{3x+7x}{42}=5 $

$ \Rightarrow $ $ 10x=42\times 5 $

$ \Rightarrow $ $ x=\frac{42\times 5}{10}=21 $

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