Answer: the path through the grass in the park is faster.
Step-by-step explanation:
The paths along which she can move forms a right angle triangle. The path along the west and north represents the opposite and adjacent sides of the triangle. The path through the grass in the park represents the hypotenuse. To determine the hypotenuse, h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
h² = 2000² + 600² = 4360000
h = √4360000
h = 2088.1 ft
If she walks along the side walk, her total distance is
2000 + 600 = 2600 feet
Eva can walk west along the edge of the park on the sidewalk at a speed of 6 ft/sec. It means that the time it will take her to walk along the sidewalk is
2600/6 = 433.3 seconds
She can also travel through the grass in the park, but only at a rate of 5 ft/sec. It means that the time it will take her to travel through the grass in the park is
2088.1/5 = 417.62 seconds
Therefore, the path through the grass in the park is faster.
