Final answer:
Debbie and Ken will meet each other on the Friendship Trail. They will be 10/3 km from Fort Erie at that time.
Step-by-step explanation:
To determine if Debbie and Ken will meet each other on the Friendship Trail, we need to find the time it takes for them to meet and the distance each of them travels in that time. Since they are both moving towards each other, we can use the formula:
time = distance / relative velocity
Debbie starts rollerblading from Port Colborne at 10 km/h and Ken starts bicycling from Fort Erie at 20 km/h. The relative velocity between them is 10 km/h + 20 km/h = 30 km/h. To find the time it takes for them to meet, we divide the distance between Port Colborne and Fort Erie by the relative velocity:
time = 10 km / 30 km/h = 1/3 hours = 20 minutes
Since they meet after 20 minutes, we can find the distance each of them travels:
Debbie's distance = 10 km/h * (20/60) hours = 10/3 km
Ken's distance = 20 km/h * (20/60) hours = 20/3 km
They will meet each other on the Friendship Trail. They will be 10/3 km from Fort Erie at that time.