Question

Vinay walks 7 km southward, then turns left and walks 5 km, then turns right and walks 2 km. Finally, he turns right and walks 5 km. How far is Vinay from his starting point?

• A. 19 km
• B. 12 km
• C. 10 km
• D. 9 km

Hint:

When solving problems related to movements, break down the movements into different directions (north-south, east-west) and calculate the net displacement.

Answer 1

The Correct Option is D

Let's break down Vinay's movements step by step:
He starts at a point and walks 7 km south.
Then he turns left (which means he is now walking east) and walks 5 km.
Next, he turns right (which means he is now walking south again) and walks 2 km.
Finally, he turns right again (which means he is walking west) and walks 5 km.
Now, we calculate his displacement:
In the north-south direction, he has walked 7 km south, then 2 km south, giving a total of \( 7 + 2 = 9 \) km south.
In the east-west direction, he has walked 5 km east, then 5 km west, so his net movement is 0 km in the east-west direction.
Thus, his final displacement is simply 9 km south, and the distance from his starting point is \( \boxed{9} \) km.