anonymous
  • 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?
Mathematics
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anonymous
  • 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?
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • 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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