Question

Saritha went 15 km to the West from her house, then turned left and walked 20 km. She then turned East and walked 25 km and finally turning left covered 20 km. How far is she from her house?

• A. 10 km
• B. 5 km
• C. 40 km
• D. 80 km

Answer 1

The Correct Option is A

To determine how far Saritha is from her house, we need to track her path and find the final position relative to her starting point.

1. Saritha starts by going 15 km to the West.
2. She then turns left, which means she is now facing South, and walks 20 km.
3. Afterwards, she turns East and walks 25 km.
4. Finally, she turns left again (now facing North) and walks 20 km.

Now let's analyze her movements and calculate the final position.

• From the initial point, she moves 15 km West.
• Then moving 20 km South.
• Next, she moves 25 km East. Since she was initially 15 km West, moving 25 km East means she is now 10 km East of the original starting point.
• Finally, she moves 20 km North. This movement cancels out the 20 km she moved South earlier, so vertically she is back in line with the starting point.

Thus, Saritha is 10 km East of her starting position. Therefore, she is 10 km away from her house.

Hence, the correct answer is 10 km.