Ryan ascends at a speed of 0.6 kilometers per hour for the two hours, takes rest for half an hour and then descends at 2.4 kilometers per hour for the half-hour.
Step-by-step explanation:
Step 1; First we need to determine how many different slopes there are on the given graph. Assume time is represented in minutes and distance is represented in meters. There are three in this graph, one goes from 0 minutes to 120 minutes and the second one is from 120 minutes to 150 minutes. The final one goes from 150 to 180 minutes. To calculate the speed of traveling we convert the distance traveled into a constant period of time i.e. an hour.
Step 2; In the first line, Ryan travels from 300 meters to 1,500 meters from 0 minutes to 120 minutes. So he has traveled 1,200 meters in 120 minutes. This equals 600 meters per hour, which equals 0.6 kilometers an hour.
Step 3; In the second line, Alex travels no distance from 120 minutes to 150 minutes. So he was at rest and did not travel in this period of time.
Step 4; In the third line, Alex travels from 1,500 meters to 300 meters from 150 minutes to 180 minutes. So he traveled 1,200 meters in 30 minutes. This equals 2,400 meters per hour, which is 2.4 kilometers per hour.