Question: A boat covers a certain distance downstream in 1 h, while it comes back in $ 1\frac{1}{2}h. $ If the speed of the stream is 3 km/h, then what is the speed of the boat in still water?
Options:
A) 12 km/h
B) 13 km/h
C) 14 km/h
D) 15 km/h
E) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
- Let the speed of the boat in still water be x km/h.
Then, speed downstream $ =(x+3),km/h $
and speed upstream $ =(x-3),km/h $
$ \therefore $ $ (x+3)\times 1=(x-3)\times \frac{3}{2} $
$ \Rightarrow $ $ 2x+6=3x-9 $
$ \Rightarrow $ $ x=15,km/h $