document.write( "Question 1107071: A car drove from a city A to a city B.The distance between the two cities is 350 km.After 200km, the speed of the car decreased by 20 km/h. The total trip took 5 hours. Find the speed of the car in the first part of the journey. \n" ); document.write( "
Algebra.Com's Answer #722074 by josgarithmetic(39630)\"\" \"About 
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document.write( "                    speed      time         distance\r\n" );
document.write( "part1                r         200/r         200\r\n" );
document.write( "part2               r-20       150/(r-20)    150\r\n" );
document.write( "total                          5\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "\"200%2Fr%2B150%2F%28r-20%29=5\"
\n" ); document.write( "Simplify and solve this for r.\r
\n" ); document.write( "\n" ); document.write( "\"40%2Fr%2B30%2F%28r-20%29=1\"\r
\n" ); document.write( "\n" ); document.write( "\"40%28r-20%29%2B30r=r%5E2-20r\"\r
\n" ); document.write( "\n" ); document.write( "\"40r-800%2B30r=r%5E2-20r\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2-20r-70r-800=0\"\r
\n" ); document.write( "\n" ); document.write( "\"r%5E2-90r-800=0\"\r
\n" ); document.write( "\n" ); document.write( "\"r=%2890%2B-+sqrt%288100%2B4%2A800%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"r=%2890%2B-+sqrt%284900%29%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"r=%2890%2B-+70%29%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"r=%2845%2B-+35%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cross%28r=5%29\" or \"highlight%28r=80%29\"\r
\n" ); document.write( "\n" ); document.write( "The 80 km per hour is the one which makes sense.
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