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the round trip distance between City X and City Y is 647 miles. A national park is between City X and City Y, and is 27 miles from City X. Find the round trip distance between the national park and city Y. Justify your answer.

Respuesta :

The round trip distance between the national park and city Y is 593 miles.

Given:

  • Round trip distance from City X and City Y = 647 miles
  • Distance between City X and national park = 27 miles

To find :

The round trip distance between the national park and city Y

Solution:

According to the question, the round trip distance between City X and City Y is 647 miles.

Let the distance from City X to City Y = d

Let the distance from City Y to City X = d

[tex]d+d=647 miles\\2d=647 miles\\d=\frac{647miles}{2}=323.5 miles[/tex]

Distance from City X to City Y = 323.5 miles

Distance of City X from national park = 27 miles

From the figure, the distance of the national park from the City Y = d -27 miles:

[tex]= 323.5 miles - 27 miles = 296.5 miles[/tex]

The distance from national park to City Y = 296.5 miles

When we will be going on the round trip between the national park and city Y we will be first traveling 296.5 miles from the national park to the City Y and then 296.5 miles from City Y to the national park.

So, the round trip distance between the national park and city Y:

[tex]296.5 miles + 296.5 miles = 593 miles[/tex]

So the round trip distance between the national park and city Y is 593 miles.

Learn more about- Round trip Distance

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