A) 52 min
B) 44 min
C) 48 min
D) 36 min
E) 54 min
Correct Answer: B
$ \therefore $ Speed in upstream $ =7x-x=6x,km/h $
$ \therefore $ $ 6x=\frac{4.2,km}{14,\min } $
$ \Rightarrow $ $ 6x=\frac{4.2}{14}\times 60,km/h $
$ \Rightarrow $ $ x=\frac{42\times 60}{10\times 14\times 6} $
$ \Rightarrow $ $ x=3 $
Speed of boat in still water $ =7\times 3=21,km/h $
Speed of stream = 3 km/h
Distance downstream = 17.6 km
Speed in downstream $ =21+3=24,km/h $
$ Time=\frac{Distance}{Speed}=\frac{17.6}{24}h $
$ =\frac{17.6}{24}\times 60\min =44\min $