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1 January, 17:03

A runner tries to keep a consistent stride length in a marathon. But, the length will change during the race. A runner has a strde length of 5 feet for the first half of the race and a stride length of 4.5 feet for the second half

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  1. 1 January, 17:50
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    1. 70,000 feet

    2. 14,000 strides

    3. About 15,555.55 strides

    Step-by-step explanation:

    Complete Question:

    A runner tries to keep a consistent stride length in a marathon. But, the length will change during the race. A runner has a stride length of 5 feet for the first half of the race and a stride length of 4.5 feet for the second half.

    1.) A marathon is 26 miles 385 yards long. That is about 1.4 * 105 feet. How many feet long is half a marathon?

    2.) How many strides would it take to finish the first half of the marathon?

    3.) How many strides would it take to finish the second half of the marathon?

    1.

    1.4 * 10^5 is in scientific notation. To get the number, we move the decimal place 5 units to the right. So the number is:

    140,000 feet

    So, half a marathon is half of that which is

    140,000 / 2 = 70,000 feet

    2.

    Each stride is 5 feet and first half is around 70,000 feet.

    Hence,

    Number of strides = 70,000/5 = 14,000 strides

    3.

    Here, each stride would be 4.5 feet and second half is about 70,000 feet.

    Hence,

    Number of strides = 70,000/4.5 = About 15,555.55 strides
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