document.write( "Question 703085: Could you please help me here \r
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document.write( "A car leaves Seattle at 2 a.m. travelling south on I-5 at a constant rate of speed of 70
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document.write( "miles per hour. At 1 a.m. a car left Tacoma, forty miles south of Seattle, travelling south
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document.write( "on I-5 at a constant rate of speed of 50 miles per hour. When & where will the faster car
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document.write( "overtake the slower car \n" );
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Algebra.Com's Answer #433596 by josgarithmetic(39617)![]() ![]() ![]() You can put this solution on YOUR website! Analyze the positions and time for the two drivers. POSITION is more helpful than simply distance.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use Seattle as a zero position and Tacoma as a +40 position. At start time (which is actually 1 A.M. here), Seattle car and Tacoma car are 40 miles apart, but Seattle car is at 0 and Tacoma car is at +40. \r \n" ); document.write( "\n" ); document.write( "Formulas for Position: \n" ); document.write( "Tacoma Car: \n" ); document.write( "Seattle Car: \n" ); document.write( "Where t is amount of time, NOT the time of day.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, the question of when will the fast (Seattle) car overtake the slow (Tacoma) car becomes, \"At what quantity of t will their positions be equal?\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means 2 hours after 1 A.M. Why after 1 AM? Because that was when any driving for this situation first begins. \n" ); document.write( " |