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Damon and Susie left their houses to go to the movies at the same time. Damon drove at an average speed of 60 miles per hour, and Susie drove at an average speed of 50 miles per hour. They arrived at the movies at the same time. If Damon drove 5 more miles than Susie, how many miles did Susie drive?

Answer :

Final answer:

Susie drove 25 miles to the movies. This was calculated by setting up equations based on the equal travel time for both Susie and Damon, knowing that Damon drove 5 miles more, and using their respective speeds to find the time and then the distance Susie covered.

Explanation:

The problem involves Damon and Susie who left their houses at the same time to go to the movies. Damon's average speed was 60 miles per hour while Susie's was 50 miles per hour. Despite their different speeds, they arrived at the movies at the same time, and Damon drove 5 more miles than Susie. To solve for the distance Susie drove, we'll use the relationship between speed, distance, and time.

Let's denote the time they both spent driving to the movies as t hours. Since they traveled for the same amount of time and arrived at the same time, we can write two equations based on the distances they covered:

  • Damon's distance: 60t miles
  • Susie's distance: 50t miles

According to the problem, Damon drove 5 more miles than Susie. Therefore, we have:

60t = 50t + 5

Solving the equation gives us t = 0.5 hours (or 30 minutes). Now, we can calculate the distance Susie drove:

Susie's distance = 50 miles/hour × 0.5 hours = 25 miles

So, Susie drove 25 miles to the movies.

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