1. 

What is the speed of the stream ?

I. The ratio of the speed upstream to the speed downstream of a boat is 2 : 3.

II. The distance travelled upstream in 2 hours by the boat is more than the distance travelled by it downstream in 1 hour by 4 km.

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 E

Explanation:

I. Let speed upstream = 2X km/hr and speed downstream = 3X km/hr.

II. (2X x 3X) - (1 x 2X) = 4

<=> 4X = 4

<=> X = 1.

∴ Speed upstream = 2 km/hr

Speed downstream = 3 km/hr.

Speed of the stream = 1/2 (3 - 2) km/hr = 1/2 km/hr.

Thus, I and II together give the answer.

∴ Correct answer is (E).