Question

A person is walking from Mali to Pali, which lies to its north-east. What is the distance between Mali and Pali?
I. When the person has covered $\frac{1}{3}$ the distance, he is 3 km east and 1 km north of Mali.
II. When the person has covered $\frac{2}{3}$ the distance, he is 6 km east and 2 km north of Mali.

• A. The question can be answered by one of the statements alone but not by the other.
• B. The question can be answered by using either statement alone.
• C. The question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. The question cannot be answered even by using both statements together.

Hint:

Use Pythagoras' theorem to find the straight-line distance when east and north displacements are given.

Answer 1

The Correct Option is B

From I: $\frac{1}{3}$ distance = $\sqrt{3^2 + 1^2} = \sqrt{10}$ km. So full distance = $3\sqrt{10}$ km. Statement I alone is enough.
From II: $\frac{2}{3}$ distance = $\sqrt{6^2 + 2^2} = \sqrt{40} = 2\sqrt{10}$ km. So full distance = $3\sqrt{10}$ km. Statement II alone is also enough.