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?10=3h+810h=8h+3How long did it take for Erin to catch up to Krysta?Simplify any fractions. hours
Question
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?10=3h+810h=8h+3How long did it take for Erin to catch up to Krysta?Simplify any fractions. hours
Solution
The equation to find h, the number of hours it took for Erin to catch up to Krysta, is 10h = 8h + 3. This equation is derived from the fact that Erin is biking at 10 miles per hour and Krysta is biking at 8 miles per hour, but Krysta has a 3-mile head start.
To solve for h, you would first subtract 8h from both sides of the equation to get 2h = 3. Then, you would divide both sides by 2 to get h = 3/2 = 1.5 hours.
So, it took Erin 1.5 hours to catch up to Krysta.
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