Question

The houses of Asma and Seema face each other on a road-going North-South. Asma’s house is on the western side, she comes out of her house and turns left, travels for 5 km. She then turns right, travels 5 km and reaches the front of Geeta’s house. Seema does exactly the same and reaches in front of Shobha’s house. In this context, which of the following statement is correct?

Options

• The houses of Shobha and Geeta are less than 20 km apart

• The houses of Shobha and Geeta are 20 km apart

• Shobha and Geeta lives in the same street

• Geeta’s house faces South

Answer 1

The houses of Shobha and Geeta are less than 20 km apart

Explanation:

Distance between shobha and Geeta's house:

Distance between two house = `sqrt((10)^2 + (10)^2) = 10 sqrt2` = 14.14 km