First measure the distance on the map, and then create a proportion to evaluate the actual distance.
≈2.7 h
Practice makes perfect
We are given that the scale of a map is 0.5inch: 100miles. Our first step will be to find the actual distance between Chicago and Springfield. To do this, we will create a proportion.
0.5/100=distance on a map/actual distance
After measuring the distance using a ruler, we can see that the cities are 78 inches apart on the map. Let's substitute this value into the proportion. Let x represent the actual distance.
0.5/100=78/x
Now we will solve the above proportion for x using cross multiplication.
The distance between these two cities is 175 miles. Next, we are asked to evaluate how long would it take to drive from Chicago to Springfield if we travel 65 miles per hour. To do this, we will recall the speed formula and solve it for time.
Speed=Distance/Time
⇓
Time=Distance/Speed
Finally, we will substitute 65 for speed and 175 for distance. Let t be the time.
