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8 April, 12:52

Maria and John love their skateboards. One day they were on

their skateboards 30 miles apart. Maria started riding towards

John at 10 mph. John started riding toward Maria at 5 mph. A

butterfly starting on Maria's skateboard flew back and forth

between the two skateboards until they met. The butterfly was

Flying at 30 mph. How far did the butterfly travel?

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Answers (2)
  1. 8 April, 13:04
    0
    The butterfly traveled a distance of 69 miles.

    Step-by-step explanation:

    Given that:

    - The distance between Maria and John = 30 miles

    - Maria's speed = 10 mph

    - John's speed = 5 mph

    - Butterfly's speed = 30 mph

    We want to find how far the butterfly traveled.

    First note that Speed is the ratio of distance traveled to the time taken.

    It is given as

    s = D/t

    where s is speed, D is distance, and t is time.

    From this, we can say that

    D = st

    That is, distance is the product of speed and time.

    Maria ran at 10mph. Let the distance she ran be D1. Then

    D1 = 10*t = 10t miles

    John ran at 5mph. Let the distance he ran be D2. Then

    D2 = 5*t = 5t miles

    The total distance between them is 30 miles. That is the sum of D1 and D2 is 30

    D1 + D2 = 10t + 5t = 30

    15t = 30

    t = 30/15

    t = 2 hours

    Meaning it took Maria and John 2 hours to meet.

    Now, a butterfly starting on Maria's skateboard flew back and forth between the two skateboards until they met. It flew at a speed of 30mph, and at time 2 hours, we can easily obtain the distance it covered.

    D = st

    D = 30*2

    = 60

    Distance = 60 miles

    Therefore, the butterfly traveled a distance of 60 miles.
  2. 8 April, 13:18
    0
    Given Information:

    Distance between Maria and John = 30 miles

    Maria's speed = 10 mph

    John's speed = 5 mph

    Butterfly's speed = 30 mph

    Required Information:

    How far did the butterfly travel = ?

    Answer:

    How far did the butterfly travel = 60 miles

    Step-by-step explanation:

    The speed, distance and time are related as,

    Distance = speed*time

    The distance that Maria has to cover = 10t miles

    The distance that John has to cover = 5t miles

    The total distance between them is 30 miles

    Mathematically,

    10t + 5t = 30

    15t = 30

    t = 30/15

    t = 2 hours

    So that means it took Maria and John 2 hours to meet.

    We know that a butterfly starting on Maria's skateboard flew back and forth

    between the two skateboards until they met.

    So that means butterfly flew for 2 hours at a speed of 30 mph.

    Then the distance covered by the butterfly is

    Distance = speed*time

    Distance = 30*2

    Distance = 60 miles

    Therefore, the butterfly traveled a distance of 60 miles.
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