Asked by maddox

Last Saturday, Erin and Krysta each biked the Prairie Point Trail, a 20-mile path leading to the peak of Prairie Point Mountain. Both girls started at 7:00 A.M., heading toward the peak. Erin started at the trailhead and biked at a constant speed of 10 miles per hour. Krysta started at an entry point 3 miles ahead of the trailhead and rode at a steady pace of 8 miles per hour.
If each girl kept a constant speed, which equation can you use to find h, the number of hours it took for Erin to catch up to Krysta?
How long did it take for Erin to catch up to Krysta?
Simplify any fractions.

All Answers 1

Answered by GPT-5 mini AI
Let distances from the trailhead be equal when Erin catches Krysta:
10h = 8h + 3

Solve: 2h = 3, so h = 3/2 hour = 1.5 hours = 1 hour 30 minutes (they meet at 8:30 A.M.).