document.write( "Question 560195: The local train is 25 miles down the track from central station when the express leaves the station. The local train travels at a rate of 50 mi/hr and the express travels at a rate of 80 mi/hr. Let N represent the number of hours since the express train left Central Station.\r
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document.write( "Question 1.) Write at expression that represents the express train's distance from Central Station in N hours.\r
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document.write( "Question 2.) When will the express train catch up with the local train? \n" );
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Algebra.Com's Answer #363849 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! The local train is 25 miles down the track from central station when the express leaves the station. \n" ); document.write( " The local train travels at a rate of 50 mi/hr and the express travels at a rate of 80 mi/hr. \n" ); document.write( " Let N represent the number of hours since the express train left Central Station. \n" ); document.write( ": \n" ); document.write( "Question 1.) Write at expression that represents the express train's distance from Central Station in N hours. \n" ); document.write( "80n \n" ); document.write( ": \n" ); document.write( "Question 2.) When will the express train catch up with the local train? \n" ); document.write( ": \n" ); document.write( "When the express catches up with the local, they will have traveled the same distance \n" ); document.write( "write a distance equation: dist = = speed * time \n" ); document.write( ": \n" ); document.write( "80n = 50(n + \n" ); document.write( "80n = 50(n+.5) \n" ); document.write( "80n = 50n + 25 \n" ); document.write( "80n - 50n = 25 \n" ); document.write( "30n = 25 \n" ); document.write( "n = \n" ); document.write( "n = \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this by finding the actual distances, they should be the same: \n" ); document.write( "Local took half hr longer; 8/6 hrs \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |