Solving for Time with Proportions

To find out how long it will take to travel 180 miles at the same speed, we can set up a proportion. Since the car travels 60 miles in 2 hours, we can write the proportion as:

[ \frac{60 \text{ miles}}{2 \text{ hours}} = \frac{180 \text{ miles}}{x \text{ hours}} ]

Solving for (x), we get:

[ x = \frac{180 \text{ miles} \times 2 \text{ hours}}{60 \text{ miles}} = 6 \text{ hours} ]

Therefore, it will take 6 hours to travel 180 miles at the same speed.