document.write( "Question 925194: Rashi travels 300km to her home partly by train and partly by bus. She takes 4 hours to travel 60km by train and the remaining by bus. If she travels 100km by train and the remaining by bus she takes 10 minutes longer. . Find the speed of train and bus separately. \n" ); document.write( "
Algebra.Com's Answer #561355 by josmiceli(19441)\"\" \"About 
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Let \"+t+\" = the time in hrs she spent traveling
\n" ); document.write( "by bus in the 1st case
\n" ); document.write( "\"+300+-+60+=+240+\" km = distance in km traveled
\n" ); document.write( "by bus in the 1st case
\n" ); document.write( "---------------------
\n" ); document.write( "The speed of the bus is:
\n" ); document.write( "\"+240+%2F+t+\" km/hr
\n" ); document.write( "The speed of the train is:
\n" ); document.write( "\"+60%2F4+=+15+\" km/hr
\n" ); document.write( "---------------------
\n" ); document.write( "In the 2nd case:
\n" ); document.write( "\"+d%2Fr%5B1%5D+%2B+d%2Fr%5B2%5D+\" = total time of travel
\n" ); document.write( "\"+100%2F15+%2B+%28+300+-+100+%29+%2F+%28%28+240%2Ft+%29%29+=+4+%2B+t+%2B+10%2F60+\"
\n" ); document.write( "\"+20%2F3+%2B+200%2A%28+t%2F240+%29+=+25%2F6+%2B+t+\"
\n" ); document.write( "\"+40%2F6+%2B+%285%2F6%29%2At+=+25%2F6+%2B+%286%2F6%29%2At+\"
\n" ); document.write( "\"+40+%2B+5t+=+25+%2B+6t+\"
\n" ); document.write( "\"+t+=+15+\" hrs
\n" ); document.write( "---------------
\n" ); document.write( "The speed of the bus is:
\n" ); document.write( "\"+240%2Ft+=+240%2F15+\"
\n" ); document.write( "\"+240%2Ft+=+16+\" km/hr
\n" ); document.write( "--------------------
\n" ); document.write( "The speed of the train is:
\n" ); document.write( "\"+60%2F4+=+15+\" km/hr
\n" ); document.write( "-----------------------
\n" ); document.write( "check answer:
\n" ); document.write( "\"+100%2F15+%2B+%28+300+-+100+%29+%2F+%28%28+240%2Ft+%29%29+=+4+%2B+t+%2B+10%2F60+\"
\n" ); document.write( "\"+100%2F15+%2B+200+%2F+%28%28+240%2F15+%29%29+=+4+%2B+15+%2B+1%2F6+\"
\n" ); document.write( "\"+20%2F3+%2B+200+%2F+16+=+19+%2B+1%2F6+\"
\n" ); document.write( "\"+6+%2B+2%2F3+%2B+25%2F2+=+19+%2B+1%2F6+\"
\n" ); document.write( "\"+13+=+12.5+%2B+4%2F6+-+1%2F6+\"
\n" ); document.write( "\"+13+=+13+\"
\n" ); document.write( "OK\r
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