Discussion :: Boats and Streams

What is the speed of the boat in still water?
I. It takes 2 hours to cover the distance between A and B downstream.
II. It takes 4 hours to cover the distance between A and B upstream.
A.
I alone sufficient while II alone not sufficient to answer 
B.
II alone sufficient while I alone not sufficient to answer 
C.
Either I or II alone sufficient to answer 
D.
Both I and II are not sufficient to answer 
E.
Both I and II are necessary to answer 
Answer : Option D
Explanation :
Let AB = x km.
I. Speed downstream =  \( \frac { X} { 2 } \)  km/hr 
II. Speed upstream =\( \frac { X } { 4 } \)km/hr
Speed of boat in still water =\(\frac { 1 } { 2 } \)[\( \frac { X } { 2 } \)+\( \frac { X } { 4}] \)km/hr
Thus, I and II both even do not give the answer.
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