Difference between revisions of "Mock AIME 6 2006-2007 Problems/Problem 3"

(Created page with "Alvin and Simon start <math>\frac{2+1}{2}(312)=468</math> metres apart. Simon and Theodore start <math>\frac{3-2}{3}(2526)=842</math> metres apart. Therefore, Alvin and Simon...")
 
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Alvin and Simon start <math>\frac{2+1}{2}(312)=468</math> metres apart.
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Alvin and Simon start <math>\frac{2+1}{2}(312)=468</math> metres apart, as they are travelling in different directions.
Simon and Theodore start <math>\frac{3-2}{3}(2526)=842</math> metres apart.
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Simon and Theodore start <math>\frac{3-2}{3}(2526)=842</math> metres apart, as they are travelling in the same direction.
Therefore, Alvin and Simon start <math>842+468-1000=\framebox{310}</math> metres apart.
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Therefore, Alvin and Simon are <math>842-468=\framebox{374}</math> metres apart, as they are travelling in different directions.
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~AbbyWong

Revision as of 00:53, 6 September 2023

Alvin and Simon start $\frac{2+1}{2}(312)=468$ metres apart, as they are travelling in different directions. Simon and Theodore start $\frac{3-2}{3}(2526)=842$ metres apart, as they are travelling in the same direction. Therefore, Alvin and Simon are $842-468=\framebox{374}$ metres apart, as they are travelling in different directions. ~AbbyWong