Scale Drawings and Maps

Two cities are 243 miles apart. It takes a train 4 hours to travel between the two cities at a constant speed. A car travels between the two cities at a constant speed of 65 miles per hour. Which is traveling faster, the car or the train? Explain your reasoning.

Using Scale to Find the Distance Between Two Cities on a Map.

A driver is traveling at a constant speed on Interstate 90 outside of Chicago. Use the tools to determine the distance she traveled from Point A to Point B.

(1). Use the Distance tool in the applet above to measure the distance between points A and B.

(2). If she traveled from Point A to Point B in 8 minutes, did she obey the speed limit of 55 miles per hour? Explain your reasoning.

(3). A traffic helicopter flew directly from Point A to Point B in 8 minutes. Did the helicopter travel faster or slower than the driver? Explain or show your reasoning in the applet.

Here is a map that shows parts of Texas and Oklahoma.

(1). About how far is it from Amarillo to Oklahoma City? Explain your reasoning.

(2). Driving at a constant speed of 70 miles per hour, will it be possible to make this trip in 3 hours? Explain how you know.

A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.

(1). If the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park?

(2). If a straight path in the park is 900 feet long, how long would the path be when represented on the map?