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