Lesson One car passing another car
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<H2>One car passing another car</H3> <H3>Problem 1</H3>If I want to pass a car just in front of me going at 55 mph, what will my speed be to pass within 1/4 of a mile? Assume that the length of your car is 10 ft and both gaps between the cars are 50 ft, before and after passing. <B>Solution</B> <pre> So, during the time of passing, another car should cover the distance 1/4 of a mile {{{highlight(highlight(MINUS))}}} (50 + 50 + 10) ft = {{{(1/4)*5280 - 110}}} = 1210 ft. The speed of the other car is 55 miles per hour = {{{(55*5280)/3600}}} = 80.66667 feet per second (ft/s) (rounded). The time for the other car to cover 1210 ft is {{{1210/80.66667}}} = 15 seconds. Your car should cover 1/4 miles, or {{{(1/4)*5280)}}} = 1320 ft. <<<---=== <U>It is how I read "to pass within 1/4 of a mile"</U> Hence, your speed should be {{{1320/15}}} = 88 feet per second, or {{{(88*3600)/5280}}} = 60 miles per hour. <U>ANSWER</U>. Your speed should be 60 miles per hour. </pre> My additional lessons on <B>Travel and Distance</B> problems (section 3) in this site are - <A HREF=https://www.algebra.com/algebra/homework/word/travel/Traveling-on-moving-walkway.lesson>Traveling on moving walkway</A> - <A HREF=https://www.algebra.com/algebra/homework/word/travel/Two-ships-on-parallel-courses-in-ocean-at-restricted-visibility.lesson>Two ships in parallel courses in ocean at restricted visibility</A> - <A HREF=https://www.algebra.com/algebra/homework/word/travel/Three-kids-get-home-from-school-using-a-tandem-bike-and-walk.lesson>Three kids get home from school using a tandem bike and walk</A> - <A HREF=https://www.algebra.com/algebra/homework/word/travel/A-kayaker-and-an-orca-simple-elegant-and-unexpectedly-short-solution.lesson>A kayaker and an orca - simple, elegant and unexpectedly short solution</A> - <A HREF=https://www.algebra.com/algebra/homework/word/travel/OVERVIEW-of-additional-lessons-on-Travel-and-Distance-%28section-3%29.lesson>OVERVIEW of additional lessons on Travel and Distance - section 3</A> Use this file/link <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A> to navigate over all topics and lessons of the online textbook ALGEBRA-I. Use this file/link <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A> to navigate over all topics and lessons of the online textbook ALGEBRA-II.
