document.write( "Question 1045092: Mike and Adam left a bus terminal at the same time and traveled in opposite directions. Mike’s bus was in heavy traffic and had to travel 20 miles per hour slower than Adam’s bus. After 3 hours, their buses were 270 miles apart. How fast was each bus going? \n" ); document.write( "
Algebra.Com's Answer #660520 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = the speed of Adam's bus in mi/hr
\n" ); document.write( "\"+s+-+20+\" = the speed of Mike's bus in mi/hr
\n" ); document.write( "----------------------------------------
\n" ); document.write( "Since they are travelling in opposite directions, you
\n" ); document.write( "can think of this as one of them standing still and
\n" ); document.write( "the other covering the \"+270+\" miles at the sum
\n" ); document.write( "of their speeds
\n" ); document.write( "---------------------
\n" ); document.write( "\"+270+=+%28+s+%2B+s+-+20+%29%2A3+\"
\n" ); document.write( "\"+270+=+%28+2s+-+20+%29%2A3+\"
\n" ); document.write( "\"+270+=+6s+-+60+\"
\n" ); document.write( "\"+6s+=+330+\"
\n" ); document.write( "\"+s+=+55+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+-+20+=+35+\"
\n" ); document.write( "------------------------
\n" ); document.write( "Adam's speed is 55 mi/hr
\n" ); document.write( "Mike's speed is 35 mi/hr
\n" ); document.write( "------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "Adam's equation:
\n" ); document.write( "\"+d%5B1%5D+=+55%2A3+\"
\n" ); document.write( "\"+d%5B1%5D+=+165+\" mi
\n" ); document.write( "-----------------
\n" ); document.write( "Mike's equation:
\n" ); document.write( "\"+d%5B2%5D+=+35%2A3+\"
\n" ); document.write( "\"+d%5B2%5D+=+105+\" mi
\n" ); document.write( "-----------------
\n" ); document.write( "\"+d%5B1%5D+%2B+d%5B2%5D+=+270+\"
\n" ); document.write( "\"+165+%2B+105+=+270+\"
\n" ); document.write( "\"+270+=+270+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );