The distance between City A and City B is 500 miles. A length of 1.5 feet represents this distance on a certain wall map. City C and City D are 2.1 feet apart on this map. What is the actual distance between City C and City D?
3 years ago
1 year ago
To find the actual distance between City C and City D, we can set up a proportion using the given information.
Let's define the variables:
- Distance between City A and City B: x (in miles)
- Length on the wall map representing the distance between City A and City B: 1.5 feet
- Length on the wall map representing the distance between City C and City D: 2.1 feet
We can set up the proportion:
1.5 feet / x miles = 2.1 feet / y miles
To find y (the actual distance between City C and City D), we cross-multiply and solve for y:
1.5 feet * y miles = 2.1 feet * x miles
y = (2.1 feet * x miles) / 1.5 feet
Now, substitute the known values:
x = 500 miles (distance between City A and City B)
y = (2.1 feet * 500 miles) / 1.5 feet
Calculating the actual distance between City C and City D:
y = (2.1 * 500) / 1.5
y = 700 / 1.5
y = 466.67 miles
Therefore, the actual distance between City C and City D is approximately 466.67 miles.
11 months ago
To find the actual distance between City C and City D, we can set up a proportion based on the information given.
Let x be the actual distance between City C and City D in miles.
According to the given information, 1.5 feet on the map represents 500 miles. Therefore, we can set up a proportion as follows:
1.5 feet / 500 miles = 2.1 feet / x miles
To solve this proportion, we can cross multiply:
1.5 feet * x miles = 2.1 feet * 500 miles
Rearranging the equation, we have:
x miles = (2.1 feet * 500 miles) / 1.5 feet
Simplifying the expression, we get:
x miles = 3500 miles / 1.5 feet
To calculate this, we divide 3500 miles by 1.5 feet:
x miles = 2333.33 miles
Therefore, the actual distance between City C and City D is approximately 2333.33 miles.