document.write( "Question 1107731: A bus left the city at 8:00am,traveling at 70km/h.Another bus,traveling in the opposite direction at 55km/h,left at 11:00am.At what time were the buses 460km apart? \n" ); document.write( "
Algebra.Com's Answer #722749 by josmiceli(19441)\"\" \"About 
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Start a stopwatch when the 2nd
\n" ); document.write( "bus leaves the city at 11 AM.
\n" ); document.write( "Let \"+t+\" = the time in hrs on the
\n" ); document.write( "stopwatch when the buses are
\n" ); document.write( "460 km apart
\n" ); document.write( "Let \"+d%5B1%5D+\" = distance in km the 1st bus travels
\n" ); document.write( "from 8 AM to 11 AM
\n" ); document.write( "Let \"+d+\" = distance in km the 2nd bus travels
\n" ); document.write( "during time \"+t+\" on the stopwatch
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\n" ); document.write( "Equation for the 1st bus from 8 AM to 11 AM
\n" ); document.write( "(1) \"+d%5B1%5D+=+70%2A3+\"
\n" ); document.write( "Equation for the 2nd bus:
\n" ); document.write( "(2) \"+d+=+55t+\"
\n" ); document.write( "Equation for the 1st bus during time \"+t+\" on stopwatch
\n" ); document.write( "(3) \"+460+-+d%5B1%5D+-+d+=+70t+\"
\n" ); document.write( "------------------------------------------------------
\n" ); document.write( "(1) \"+d%5B1%5D+=+210+\"
\n" ); document.write( "Plug (2) into (3)
\n" ); document.write( "(3) \"+460+-+210+-+55t+=+70t+\"
\n" ); document.write( "(3) \"+250+-+55t+=+70t+\"
\n" ); document.write( "(3) \"+125t+=+250+\"
\n" ); document.write( "(3) \"+t+=+2+\"
\n" ); document.write( "------------------------------------------------------
\n" ); document.write( "2 hrs after 11 AM, or at 1 PM, the buses are 460 km apart
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\n" ); document.write( "check the answer:
\n" ); document.write( "(2) \"+d+=+55t+\"
\n" ); document.write( "(2) \"+d+=+55%2A2+\"
\n" ); document.write( "(2) \"+d+=+110+\" km
\n" ); document.write( "The first bus travels \"+460+-+110+=+560+\" km from
\n" ); document.write( "8 AM to 1 PM, or 5 hrs
\n" ); document.write( "\"+350+=+r%2A5+\"
\n" ); document.write( "\"+r+=+70+\" km/hr
\n" ); document.write( "OK
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