document.write( "Question 1059932: A train traveling at the rate of 90 miles per hour (mi/hr) leaved New York City. Two hours later, another train traveling at the rate of 120 mi/hr also leaves New York City on a parallel track. How long will it take the faster train to catch up to the slower train? \n" ); document.write( "

Algebra.Com's Answer #674972 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
Typical traveling catchup problem\r
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\n" ); document.write( "\n" ); document.write( " $\"system%28r=90%2CR=120%2Ch=2%29\"$ \r
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document.write( "                 RATE        TIME       DISTANCE\r\n" );
document.write( "SLOW EARLY       r           t+h           d\r\n" );
document.write( "FAST LATE        R           t             d\r\n" );
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\n" ); document.write( "\n" ); document.write( "The fast train catches up to the slow train when both have traveled distance d. Question asks for $\"t\"$ .\r
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\n" ); document.write( "\n" ); document.write( " $\"system%28r%28t%2Bh%29=d%2CRt=d%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Solve the system for t.\r
\n" ); document.write( "\n" ); document.write( " $\"r%28t%2Bh%29=Rt\"$
\n" ); document.write( " $\"rt%2Brh=Rt\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"rh=Rt-rt\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"rh=t%28R-r%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"t=%28rh%29%2F%28R-r%29\"$ -----------the answer. \n" ); document.write( "

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