Boats and Streams - General Aptitude

Q1:

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 II alone sufficient while I alone not sufficient to answer

D Both I and II are not sufficient to answer

E Both I and II are necessary to answer

ANS:D - Both I and II are not sufficient to answer

Let AB = x km.

 I. Speed downstream = x km/hr
2
II. Speed upstream = x km/hr.
4
Speed of boat in still water = 1 x + x km/hr.
2 2 4
Thus, I and II both even do not give the answer.  Correct answer is (D).