Ask Question
26 January, 15:52

At 1:30 marlon left his house to go to the beach a distance of 5.25 miles. He rode his skateboard until 2:15 and then walked the rest of the way. He arrived at the beach at 3:00. Marlon's speed on his skateboard is 2.5 times his walking speed. Find his speed when skateboarding and when walking.

+5
Answers (1)
  1. 26 January, 16:32
    0
    Answer: his speed when skateboarding 5 mph and when walking is 2 mph

    Step-by-step explanation:

    Marlon started riding his skateboard from his house at 1:30 until 2:15 when he started walking. This means that the time he spent riding his skateboard is

    2:15 - 1:30 = 45 minutes

    Converting 45 minutes to hours, it becomes

    45/60 = 0.75 hour

    He walked the rest of the way. He arrived at the beach at 3:00. This means that the time he spent walking is

    3:00 - 2:15 = 45 minutes

    Converting 45 minutes to hours, it becomes

    45/60 = 0.75 hour

    Let x represent Marlon's walking speed.

    Marlon's speed on his skateboard is 2.5 times his walking speed. This means that his speed when skateboarding is 2.5x

    Distance = speed * time

    Distance covered while walking is

    x * 0.75 = 0.75x

    Distance covered while skateboarding is

    2.5x * 0.75 = 1.875x

    Since the total distance to the beach is 5.25 miles, then

    0.75x + 1.875x = 5.25

    2.625x = 5.25

    x = 5.25/2.625

    x = 2mph

    His speed while skateboarding is

    2.5x = 2.5 * 2 = 5mph
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “At 1:30 marlon left his house to go to the beach a distance of 5.25 miles. He rode his skateboard until 2:15 and then walked the rest of ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers