Boats and Streams – Data Sufficiency 2

Boats and Streams – Data Sufficiency 2

Directions to Solve

Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.

1.
What is the speed of the boat in still water?
I. The speed downstream is 12 kmph.
II. The speed upstream is 4 kmph.
 III. In a to and fro journey between two points, the average speed of the boat was 6 kmph.
A. I and II only
B. All I, II and III
C. III, and either I or II
D. Any two of the three
E. None of these

Answer: Option D

Explanation:

From I and II, speed of boat in still water = 1 (12 + 4) km/hr = 8 km/hr.
2

From II and III, we get:

Using average speed = 2xy , we get: 2 x 4 x y = 6
x + y 4 + y

 8y = 24 + 6y

 y = 12.

 Required speed = 1 (12 + 4) km/hr = 8 km/hr.
2

Similarly, I and III also give the answer.

 Correct answer is (D).

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