document.write( "Question 1072960: Two trains running in the same direction on the same track travel at the rates of 40 and 45 mph, respectively. If the slower train starts out an hour earlier, how long will it take the faster train to catch up with it? \n" ); document.write( "

Algebra.Com's Answer #687801 by Fombitz(32388) $\"\"$ $\"About$

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Start time (t=0) when the second train leaves the station.
\n" ); document.write( " $\"D%5B1%5D=R%5B1%5D%2A%28t%2B1%29\"$
\n" ); document.write( " $\"D%5B1%5D=40%28t%2B1%29\"$
\n" ); document.write( "and
\n" ); document.write( " $\"D%5B2%5D=R%5B2%5D%2At\"$
\n" ); document.write( " $\"D%5B2%5D=45t\"$
\n" ); document.write( "So then find t when,
\n" ); document.write( " $\"D%5B1%5D=D%5B2%5D\"$
\n" ); document.write( " $\"40%28t%2B1%29=45t\"$
\n" ); document.write( " $\"40t%2B40=45t\"$
\n" ); document.write( " $\"45t-40t=40\"$
\n" ); document.write( " $\"5t=40\"$
\n" ); document.write( "Solve for t. \n" ); document.write( "

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