Question

Walker is planning a summer vacation. He want to visit petrified national forest and meteor crater,Arizona,the 500000-year old impact site of the large meteor. On a map with a scale where 2 inches equals 75 miles, the two areas are about 1 and a half apart. What is the distance between petrified national forest and meteor crater?

Answer 1

Answer:

56.25 miles

Step-by-step explanation:

Walker wants to visit petrified national forest and meteor crater.

On a map, a scale is 2 inches = 75 miles.

The national forest and meteor crater are about 1 and a half inches apart.

Let x miles be the actual distance between national forest and meteor crater.

Then

2 inches - 75 miles

$1\dfrac{1}{2}$ inches - x miles.

Write a proportion:

$\dfrac{2}{1\frac{1}{2}}=\dfrac{75}{x}$

Cross multiply

$2\cdot x=75\cdot 1\dfrac{1}{2}\\ \\2x=75\cdot \dfrac{3}{2}\\ \\2x=\dfrac{225}{2}\\ \\x=\dfrac{225}{4}=546.25\ miles$

Or you can think in such way:

2 inches - 75 miles

1 inch - 37.5 miles

1/2 inch - 18.75 miles

1 1/2 inches - 37.5 + 18.75 = 56.25 miles