First, measure the distance on the map. Then, create a proportion to evaluate the actual distance.
≈4.3 h
Practice makes perfect
We are given that the scale of a map is 1inch: 200miles. Our first step will be to find the actual distance between Gainesville and Miami, Florida. To do this, we can create a proportion.
1/200=distance on map/actual distance
After measuring the distance using a ruler, we can see that the cities are 1.5 inches apart on the map. Let's substitute this value into the proportion. Let x represent the actual distance.
1/200=1.5/x
Now we will solve the above proportion for x using cross multiplication.
The distance between these two cities is 300 miles. Next, we are asked to evaluate how long it would take to drive from Gainesville to Miami if we travel 70 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 70 for speed and 300 for distance. Let t be the time.
