document.write( "Question 50119: Two cars are leaving Phils house at precisely at 6:20pm. The first car driven by Phil is headed nother. The second car, driven by Roman, is headed south Phil, because he is nat a good citizen is going 20 MPH faster than Roman. If at 7:50 they are exactly 168 miles apart, how fast is each going? \r
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document.write( "Please help me. Not sure of the equation\r
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document.write( "Thank you! \n" );
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Algebra.Com's Answer #33308 by lkwtcnj(8) ![]() You can put this solution on YOUR website! To get the distance, you multiply speed by time. So if you let Roman's speed be x, then Phil's speed is x + 20. 1.5 hours has passed. Then Roman has gone 1.5x, and Phil has gone 1.5(x+20). Since they're going in opposite directions, the distance between them is just the sum of their individual distances:\r \n" ); document.write( "\n" ); document.write( "1.5(x + 20) + 1.5x = 168 \n" ); document.write( "1.5x + (1.5 * 20) + 1.5x = 168 \n" ); document.write( "3x + 30 = 168 \n" ); document.write( "3x = 168 - 30 \n" ); document.write( "3x = 138 \n" ); document.write( "x = 138/3 = 46\r \n" ); document.write( "\n" ); document.write( "Then Roman is going 46 mph, and Phil is going 46 + 20 = 66 mph. Hope that helps! \n" ); document.write( " |