document.write( "Question 108158: Two cars leave an intersection at the same time. One travels north, and the other heads west traveling 10 mph faster. after 1 hour, they are 50 miles apart. What are their speeds? \n" ); document.write( "
Algebra.Com's Answer #78836 by Fombitz(32388)\"\" \"About 
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Rate x Time = Distance
\n" ); document.write( "Car 1 rate = \"R%5B1%5D\"
\n" ); document.write( "Car 2 rate = \"R%5B2%5D=R%5B1%5D%2B10\"
\n" ); document.write( "After 1 hour, the distance is
\n" ); document.write( "Distance 1 = \"R%5B1%5D%2A1\"
\n" ); document.write( "Distance 2 = \"R%5B2%5D%2A1\"
\n" ); document.write( "Since one heads north and one heads west, the make a right triangle.
\n" ); document.write( "
\n" ); document.write( "From the graph,
\n" ); document.write( "\"R%5B1%5D%5E2%2BR%5B2%5D%5E2=50%5E2\"
\n" ); document.write( "\"R%5B1%5D%5E2%2B%28R%5B1%5D%2B10%29%5E2=50%5E2\"
\n" ); document.write( "\"R%5B1%5D%5E2%2BR%5B1%5D%5E2%2B20R%5B1%5D%2B100=2500\"
\n" ); document.write( "\"2R%5B1%5D%5E2%2B20R%5B1%5D-2400=0\"
\n" ); document.write( "\"R%5B1%5D%5E2%2B10R%5B1%5D-1200=0\"
\n" ); document.write( "\"%28R%5B1%5D%2B40%29%28R%5B1%5D-30%29=0\"
\n" ); document.write( "Use the positive root since negative rate does not make sense in this application.
\n" ); document.write( "\"R%5B1%5D-30=0\"
\n" ); document.write( "\"R%5B1%5D=30\"
\n" ); document.write( "and Car 2
\n" ); document.write( "\"R%5B2%5D=R%5B1%5D%2B10\"
\n" ); document.write( "\"R%5B2%5D=40\"
\n" ); document.write( "Check your answer
\n" ); document.write( "\"R%5B1%5D%5E2%2BR%5B2%5D%5E2=50%5E2\"
\n" ); document.write( "\"30%5E2%2B40%5E2=50%5E2\"
\n" ); document.write( "\"2500=2500\"
\n" ); document.write( "True statement. Good answer.
\n" ); document.write( "Car 1 is traveling at 30 miles/hr North.
\n" ); document.write( "Car 2 is traveling at 40 miles/hr West.
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