Ask Question
18 February, 16:27

In a large marathon, runners start the race in stages. Leanna started in group E and ran at a rate of 4.8 miles per hour. During the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes after Leanna started. How far did Leanna run before she was passed by Irina?

+1
Answers (1)
  1. 18 February, 16:54
    0
    Answer: Leanna ran 39.96 miles before she was passed by Irina.

    Step-by-step explanation:

    When Irina would pass Leanna, they would have ran the same distance.

    Let t represent the time that Leanna ran before she was passed by Irina.

    Distance = speed * time

    Leanna started in group E and ran at a rate of 4.8 miles per hour. The distance ran by Leanna before she was passed by Irina is

    4.8 * t = 4.8t

    During the race she was passed by Irina who ran at a rate of 5 miles per hour and started in group H, 20 minutes (20/60 = 0.333 hour) after Leanna started. The time spent by Irina in running this distance is

    t - 0.333

    Distance ran by Irina is

    5 (t - 0.333) = 5t - 1.665

    Since they ran the same distance, then

    4.8t = 5t - 1.665

    5t - 4.8t = 1.665

    0.2t = 1.665

    t = 1.665/0.2 = 8.325 hours

    Therefore, the distance that Leanna ran before she was passed by Irina is

    4.8 * 8.325 = 39.96 miles
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “In a large marathon, runners start the race in stages. Leanna started in group E and ran at a rate of 4.8 miles per hour. During the race ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers