Question

Two cities are 35 miles apart. The distance between them on a map is 2 feet 2 inches. What is the distance between two other cities on the same map if the actual distance between them is 46 miles? Round your answer to the nearest inch.

Answer 1

To find the distance between two other cities on the same map when the actual distance is known, you can set up a proportion using the given information. Convert any measurements to a consistent unit and then cross multiply and divide to solve for the unknown distance on the map. Round the answer to the nearest inch.

Step-by-step explanation:

To find the distance between two other cities on the same map, we can set up a proportion using the given information. We know that the distance between the two cities on the map is 2 feet 2 inches and the actual distance is 46 miles. We can set up the proportion:

2 feet 2 inches / 35 miles = x feet / 46 miles

To solve for x, we can cross multiply and then divide:

2 feet 2 inches * 46 miles = 35 miles * x

Dividing both sides by 35 miles gives us:

x = (2 feet 2 inches * 46 miles) / 35 miles

Converting 2 feet 2 inches to inches (26 inches), we have:

x = (26 inches * 46 miles) / 35 miles

Finally, simplifying the expression gives us the distance between the two other cities on the map, rounded to the nearest inch.