document.write( "Question 404731: points A and B are 70 km apart on a highway. a car starts from A and another car starts from B at the same time. If they travel in the same direction, they meet in 7 hours, but they travel in opposite direction they meet in one hour. what are their speeds \n" ); document.write( "
Algebra.Com's Answer #286021 by josmiceli(19441)\"\" \"About 
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I need equations for each car going in the same direction and
\n" ); document.write( "equations for each car going in the opposite direction
\n" ); document.write( "--------------------------------
\n" ); document.write( " A and B going in the same direction:
\n" ); document.write( "(1)
\n" ); document.write( "\"d%5BA%5D+=+r%5BA%5D%2At%5BA%5D\"
\n" ); document.write( "\"d%5BA%5D+=+r%5BA%5D%2A7\"
\n" ); document.write( "------------------
\n" ); document.write( "(2)
\n" ); document.write( "\"d%5BB%5D+=+r%5BB%5D%2At%5BB%5D\"
\n" ); document.write( "\"d%5BA%5D+%2B+70+=+r%5BB%5D%2A7\"
\n" ); document.write( "------------------
\n" ); document.write( "------------------
\n" ); document.write( "A and B going in opposite directions:
\n" ); document.write( "(3)
\n" ); document.write( "\"d%5BC%5D+=+r%5BA%5D%2At%5BC%5D\"
\n" ); document.write( "\"d%5BC%5D+=+r%5BA%5D%2A1\"
\n" ); document.write( "---------------
\n" ); document.write( "(4)
\n" ); document.write( "\"d%5BE%5D+=+r%5BB%5D%2At%5BB%5D\"
\n" ); document.write( "\"70+-+d%5BC%5D+=+r%5BB%5D%2A1\"
\n" ); document.write( "---------------
\n" ); document.write( " A and B going in the same direction:
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"d%5BA%5D+%2B+70+=+r%5BB%5D%2A7\"
\n" ); document.write( "(1) \"-d%5BA%5D+=+-r%5BA%5D%2A7\"
\n" ); document.write( "\"70+=+7r%5BB%5D+-+7r%5BA%5D\"
\n" ); document.write( "\"-+r%5BA%5D+%2B+r%5BB%5D+=+10\"
\n" ); document.write( "------------------
\n" ); document.write( "A and B going in opposite directions:
\n" ); document.write( "Add (3) and (4)
\n" ); document.write( "(3) \"d%5BC%5D+=+r%5BA%5D%2A1\"
\n" ); document.write( "(4) \"70+-+d%5BC%5D+=+r%5BB%5D%2A1\"
\n" ); document.write( "\"+r%5BA%5D+%2B+r%5BB%5D+=+70\"
\n" ); document.write( "------------------
\n" ); document.write( "Add the results:
\n" ); document.write( "\"-+r%5BA%5D+%2B+r%5BB%5D+=+10\"
\n" ); document.write( "\"+r%5BA%5D+%2B+r%5BB%5D+=+70\"
\n" ); document.write( "\"2r%5BB%5D+=+80\"
\n" ); document.write( "\"r%5BB%5D+=+40\"
\n" ); document.write( "and, since
\n" ); document.write( "\"-+r%5BA%5D+%2B+r%5BB%5D+=+10\"
\n" ); document.write( "\"-+r%5BA%5D+%2B+40+=+10\"
\n" ); document.write( "\"r%5BA%5D+=+30\"
\n" ); document.write( "-----------------
\n" ); document.write( "The speed of A is 30 km/hr
\n" ); document.write( "The speed of B is 40 km/hr
\n" ); document.write( "----------------
\n" ); document.write( "check answer:
\n" ); document.write( "\"d%5BA%5D+%2B+70+=+r%5BB%5D%2A7\"
\n" ); document.write( "\"d%5BA%5D+%2B+70+=+40%2A7\"
\n" ); document.write( "\"d%5BA%5D+=+280+-+70\"
\n" ); document.write( "\"d%5BA%5D+=+210\" km
\n" ); document.write( "and
\n" ); document.write( "\"d%5BB%5D+=+d%5BA%5D+%2B+70\"
\n" ); document.write( "\"b%5BB%5D+=+280\" km
\n" ); document.write( "-----------------
\n" ); document.write( "\"d%5BC%5D+=+r%5BA%5D%2A1\"
\n" ); document.write( "\"d%5BC%5D+=+30\"
\n" ); document.write( "\"70+-+d%5BC%5D+=+r%5BB%5D%2A1\"
\n" ); document.write( "\"70+-+30+=+40%2A1\"
\n" ); document.write( "\"40+=+40\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );