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5 March, 12:29

At 1:30 Marlon left his house to go to the beach, a distance of 6.3 miles. He rode his skateboard until 2:15, 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, in miles per hour, when skateboarding and when walking.

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Answers (2)
  1. 5 March, 13:51
    0
    The answer to your question is speed when skating = 6 mi/h; when walking = 2.4 mi/h

    Step-by-step explanation:

    Data

    Total time = 1:30 h

    total distance = 6.3 mi

    time in skateboard = 2:15 - 1:30 = 45 min

    time walking = 3:00 - 2:15 = 45 min

    Speed skating is 2.5 faster than walking

    Process

    1. - Let x be the speed when walking

    speed when skating = 2.5x

    2. - Use the formula of velocity to find x

    Walking x = d1/t or d1 = xt

    Skating 2.5x = d2/t or d2 = 2.5xt

    Total distance = d1 + d2 = 6.3

    xt + 2.5xt = 6.3

    - Solve for x 3/4x + 2.5 (3/4) x = 6.3

    -Simplification 3/4x + 15/8x = 6.3

    21/8x = 6.3

    x = 2.4

    3. - Find the speed when skating

    Speed when skating = 2.5 (2.4)

    = 6
  2. 5 March, 14:54
    0
    Answer: his walking speed is 2.4 mph.

    His skateboarding speed is 6 mph.

    Step-by-step explanation:

    Let x represent Marlon's walking speed.

    Marlon's speed on his skateboard is 2.5 times his walking speed. It means that his speed on his skateboard is 2.5x.

    At 1:30 Marlon left his house to go to the beach, a distance of 6.3 miles. He rode his skateboard until 2:15. This means that he spent 45 minutes (45/60 = 0.75 hour) on the skateboard.

    Distance = speed * time

    Distance covered while skateboarding is

    0.75 * 2.5x = 1.875x

    He walked the rest of the way. He arrived at the beach at 3:00. This means that he spent 45 minutes (45/60 = 0.75 hour) walking. Distance covered while walking is

    0.75x

    Since the total distance covered is 6.3 miles, then

    1.875x + 0.75x = 6.3

    2.625x = 6.3

    x = 6.3/2.625

    x = 2.4 mph

    His speed while skateboarding is

    2.4 * 2.5 = 6 mph
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