Question

In a city grid, each block on the east-west streets is 180 meters long. Each block on the north-south streets is also 180 meters long. A walker walks 4 blocks north and then 3 blocks east. How much farther did the walker travel than the actual distance between the start and end points?

900 m

222 m

180 m

300 m

360 m

Answer 1

I believe the answer is: 360

Answer 2

Answer:

$x = 360 m$

Explanation:

Total distance that the walker has been traveled is given as

d = 4 blocks North + 3 blocks East

d = 7 blocks

Now total displacement of the walker is given as

$r = \sqrt{4^2 + 3^2}$

[$r = 5 blocks$

so here the difference of the displacement and its actual distance is given as

$x = d - r$

$x = (7 blocks - 5 blocks)$

$x = 2 blocks$

$x = 2 \times 180$

$x = 360 m$