• anonymous
Emil and Henri are playing on a soccer field that is 90m x 120m. Suppose Emil starts from the goal at one end of the field and Henri starts at the other. They run towards each other with Emil running at a rate of 3.5 meters per second and Henri running at a rate of 2.5 meters per second. How much time will pass before they meet?
  • Stacey Warren - Expert
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  • chestercat
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  • anonymous
They start 120 meters apart from each other (the lenght of the soccer field). Suppose Emil starts from point 0 with velocity v = 3.5 m/s Henri starts at point 120 on our axis with the velocity v = -2.5 m/s ... cause, he is running in the other direction. You could also turn it around - it makes no difference. They meet, when they are at the same distance from Emil's (or Henri's) goal. so \[0 + 3.5 t = 120 - 2.5 t\] bring the t's to one side.. \[6t = 120\] and divide by 6 \[t = 20\] They will therefore meet after 20 seconds.

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