Lin and Diego travel in cars on the highway at constant speeds. In each case, decide who was traveling faster and explain how you know.

During the first half hour, Lin travels 23 miles while Diego travels 25 miles.

After stopping for lunch, they travel at different speeds. To travel the next 60 miles, it takes Lin 65 minutes and it takes Diego 70 minutes.

During the first half hour, Diego is traveling faster at an average of 50 miles/hour as opposed to Lin who is only traveling at an average of 46 miles/hour. After lunch, Lin is traveling faster at an average rate of 56 miles/hour while Diego is traveling at an average rate of 52 miles/hour.

Step-by-step explanation:

Speed is an average of distance divided by time, or s = d/t. In the first part of the trip, Lin travels 23 miles in 30 minutes, or 0.5 of an hour, and Diego travels 25 miles in 0.5 of an hour. If we calculate the average speed at s = 23/0.5 and 25/0.5, we get an average rate of 46 miles/hour for Lin and 50 miles/hour for Diego. After lunch, Lin travels 60 miles in 65 minutes, or 1.08 of an hour, and Diego travels the same distance in 70 minutes, or 1.16 of an hour. Calculating the average speed for this part of the trip is 60/1.08 or an average of 56 miles/hour for Lin and 60/1.16 or an average of 52 miles/hour for Diego.