n a city grid, each block on the east-west streets is 180 meters long.

Physics
Tutor: None Selected Time limit: 1 Day

5.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?

May 18th, 2015

The distance that the walker actually traveled is equal to 

d1 = 4 x 180 + 3 x 180 = 1260 meters

The distance between the start and end points can be calculated using Pythagorean theorem:

d22 = (4 x 180)2 + (3  x 180)2 = 52 x 1802

d2 = 5 x 180 = 900 meters

Hence, the difference is:

d = d1 - d2 = 1260 - 900 = 360 meters

ANSWER: 360 meters long

May 18th, 2015

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