A map has a scale of 2 inches : 15 miles. Two cities on the map are 6 inches apart. Find the actual distance between the two cities.
Well, well, well, it seems like we have a mapping adventure here! So, according to the given scale, 2 inches on the map represent 15 miles in the real world. Now, if two cities on the map are 6 inches apart, let's find out how far they are in reality.
Since there are 2 inches on the map for every 15 miles, we can set up a proportion to solve this little puzzle. So, let's set up our proportion:
2 inches / 15 miles = 6 inches / x miles
Now, to find out what x is, we can cross multiply:
2 inches * x miles = 15 miles * 6 inches
Ah, simple math time! 2 times x equals 15 times 6.
2x = 90
Divide both sides by 2 and...
x = 45
Ta-da! The actual distance between the two cities is 45 miles. So, pack your bags, get your clown shoes on, and let's go on a 45-mile adventure! Woohoo!
To find the actual distance between the two cities, we can set up a proportion using the scale on the map.
The given scale is 2 inches : 15 miles. Let's call the actual distance between the two cities "x" miles.
We can set up the proportion as follows:
2 inches / 15 miles = 6 inches / x miles
To solve for x, we can cross-multiply:
2 inches * x miles = 15 miles * 6 inches
2x = 90
Dividing both sides of the equation by 2:
x = 45
Therefore, the actual distance between the two cities is 45 miles.
To find the actual distance between the two cities, we need to use the given scale on the map.
The scale on the map is 2 inches : 15 miles. This means that 2 inches on the map represents 15 miles in reality.
First, let's calculate the scale factor:
scale factor = actual distance / map distance
Since 2 inches on the map represents 15 miles in reality, we can set up a ratio using the given scale:
2 inches / 15 miles = 6 inches / x (actual distance)
To solve for x, cross multiply and divide:
2x = 15 * 6
2x = 90
x = 90 / 2
x = 45
Therefore, the actual distance between the two cities is 45 miles.