The problem you have shared is in Hindi, and it describes a scenario involving a person riding a bicycle in different directions and distances. Here's a breakdown of the problem and how to solve it:

Problem Description (Translated):

• A person named ऋषभ starts from his house and rides his bicycle 10 km south.
• He turns right and rides 5 km.
• Then, he turns right again and rides 10 km.
• Finally, he turns left and rides 10 km.
• The question asks how many kilometers he will need to ride straight to return to his home.

Solution:

We can break this problem down step by step using a coordinate system or vector approach:

1. Initial Position: He starts at the origin (his house).
2. First Movement: He moves 10 km south.
   • His new position is (0, -10).
3. Second Movement (Right Turn): He turns right (west), which means he is now heading west. He moves 5 km.
   • His new position is (-5, -10).
4. Third Movement (Right Turn): He turns right again (north) and moves 10 km.
   • His new position is (-5, 0), because moving 10 km north from (-5, -10) brings him back to the same vertical level as his starting point.
5. Fourth Movement (Left Turn): He turns left (west) and rides 10 km.
   • His new position is (-15, 0).

At this point, his final position is (-15, 0), and his house is at (0, 0). So, the straight-line distance he needs to travel to get back home is the horizontal distance between his current position and his home, which is 15 km.

Final Answer:

He will need to ride 15 kilometers straight to return home.

The correct option is (2) 15 किमी.

Do you want more details or have any questions?

Related Questions:

1. What is the formula for calculating distance in a coordinate plane?
2. How does turning left or right affect the direction of travel in terms of compass directions?
3. Can you solve a similar problem where he turns in different directions?
4. How can this problem be represented on a graph?
5. How would the solution change if he had turned left instead of right in one of the steps?

Tip:

Whenever solving direction-based problems, sketching a rough diagram or using a coordinate system can help visualize the movements and make solving easier.