Math / Geometry

Question3. Kyle and Mark started at the same location. Kyle traveled 5 miles due east, while Mark traveled 3 miles due West. How far apart are they? (A) 2 miles (B) 8 miles (C) $\mathbf{1 5}$ miles (D) 12 miles

Studdy Solution

STEP 1

1. Kyle and Mark started at the same location.
2. Kyle traveled 5 miles due east.
3. Mark traveled 3 miles due west.

STEP 2

1. Determine the total distance traveled by Kyle and Mark in opposite directions.
2. Calculate the distance between Kyle and Mark.

STEP 3

Determine the total distance traveled by Kyle and Mark in opposite directions:
Kyle traveled 5 miles east, and Mark traveled 3 miles west. Since they traveled in opposite directions, the total distance between them is the sum of these distances.

STEP 4

Calculate the distance between Kyle and Mark:
$\text{Distance} = 5 \text{ miles (east)} + 3 \text{ miles (west)} = 8 \text{ miles}$
The distance between Kyle and Mark is:
$\boxed{8 \text{ miles}}$

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