Help - why is it 3600 times 2 and not just 3600?

  • ADMIN M0★ M1 M5

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  • ADMIN M0★ M1 M5

    [Originally posted in the Discussions]

    Ok so I know about the triangle explanation for the question as to why it's 60 times 5280 times 2.2 over 3600 times 2 but in reality why is it 3600 times 2 and not just 3600?

  • ADMIN M0★ M1 M5

    Great question! Similarly to the graph drawn in the explanation, the distance covered is the area of the triangle. We know the height of the triangle is

    $$ \frac{60 \times 5280}{3600} $$

    and the length is 2.2. But the formula for a triangle requires that we divide by 2, so by multiplying what is above by 2.2, and then dividing by 2, we get the answer:

    $$ \frac{60 \times 5280 \times 2.2}{3600 \times 2} $$

    For a more detailed intuition for why the 2 is on the bottom, a bit more physics is needed, but for now, I think the triangle explanation is a really good one!

    Hope this helps, and Happy Learning!

    The Daily Challenge Team