Study the following information carefully and answer the questions given below.

Some points are drawn on a sheet such that all the points are at different directions (having different distances) with each other. Point P is 20m south of Point J. Point E is 23m east of Point M which is exactly in the middle of Point J and Point P. Point E is in the north of Point W and the distance between them is same as the distance between Point M and Point P. Point W is in 8m west of Point V.

What is the shortest distance between Point P and Point W?

The correct option is 23m.

Let us analyze the position of each point step-by-step using standard directional conventions (North is up, South is down, East is right, West is left):

1. Point J and Point P:
Point P is located 20m South of Point J. This means the vertical distance between Point J and Point P is 20m.

2. Point M:
Point M is exactly in the middle of Point J and Point P.
Since the total distance between Point J and Point P is 20m, Point M lies 10m South of Point J and 10m North of Point P.

3. Point E:
Point E is 23m East of Point M.

4. Point W:
Point E is to the North of Point W, and the distance between Point E and Point W is equal to the distance between Point M and Point P.
Since the distance between Point M and Point P is 10m, the distance between Point E and Point W is also 10m.
Therefore, Point W is located 10m South of Point E.

5. Finding the relationship between Point P and Point W:
- Point M is 10m North of Point P.
- Point E is 23m East of Point M.
- Point W is 10m South of Point E.
Since Point M is 10m North of Point P, going 10m South from Point E brings Point W to the exact same horizontal (East-West) alignment line as Point P.

Therefore, Point W lies directly to the East of Point P at the same horizontal distance as Point E is from Point M.

The shortest distance between Point P and Point W is simply the straight horizontal distance between them, which is equal to the distance between Point M and Point E:

$\text{Distance}=23\text{ m}$

Thus, the shortest distance between Point P and Point W is 23m.