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

`x = 360 m`

Step-by-step 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 = √(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 * 180`

`x = 360 m`