A) $ 3km $
B) $ 4km $
C) $ 1km $
D) $ 2km $
Correct Answer: A
$ \therefore $ Speed of the man downstream $ =7.5+1.5=9 $ Speed the man upstream $ =7.5-1.5=6km/h $ According to the question, $ \frac{x}{9}+\frac{x}{6}=\frac{50}{60} $
$ \Rightarrow $ $ \frac{4x+6x}{36}=\frac{50}{60} $
$ \Rightarrow $ $ \frac{10x}{36}=\frac{50}{60} $
$ \Rightarrow $ $ \frac{50\times 36}{10\times 60} $
$ \Rightarrow $ $ x=3km $