Question

Tia flew from Logan Airport (in Boston) to SeaTac Airport (in Seattle), a distance of approximately 2500 miles. Her flight has a layover in Pittsburgh. The distance from Boston to Pittsburgh is about a quarter the distance between Pittsburgh and Seattle. How far is it between cities?

Please show your work!

Answer 1

the distance between Boston and Pittsburgh is approximately 500 miles, and the distance between Pittsburgh and Seattle is four times that, which is approximately 2000 miles.

Explanation:

Let's denote the distance between Boston and Pittsburgh as x. According to the given information, the distance from Boston to Pittsburgh is about a quarter of the distance between Pittsburgh and Seattle.

Distance from Boston to Pittsburgh = x

Distance from Pittsburgh to Seattle = 4x (since it's four times the distance from Boston to Pittsburgh)

The total distance Tia flew is approximately 2500 miles, so we can set up the equation:

x + 4x = 2500

Combining like terms:

5x = 2500

Dividing both sides by 5:

x = 500

Answer 2

The distance between Boston and Pittsburgh is approximately 500 miles, and the distance between Pittsburgh and Seattle is 2000 miles.

Explanation:

Let's assume the distance between Boston and Pittsburgh is x miles. According to the given information, the distance from Boston to Pittsburgh is about a quarter of the distance between Pittsburgh and Seattle.

Distance from Boston to Pittsburgh = x miles

Distance from Pittsburgh to Seattle = 4x miles

Given that Tia flew approximately 2500 miles from Boston to Seattle, we can add up the distances:

x + 4x = 2500

Combining like terms:

5x = 2500

Dividing both sides of the equation by 5:

x = 500

Therefore, the distance between Boston and Pittsburgh is approximately 500 miles, and the distance between Pittsburgh and Seattle is 4 times that, which is 4 * 500 = 2000 miles.