document.write( "Question 503643: A car leaves a train depot at 1:00pm and travels at 60mph. A train leaves the same station 1 1/2hrs later and travels at 80mph in the same direction as the car. At what time will the train overtake the car?
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Algebra.Com's Answer #339332 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! d = rt is the fundamental distance equation. \n" ); document.write( ". \n" ); document.write( "Train 1: \n" ); document.write( "d = 60 mph * t hrs \n" ); document.write( ". \n" ); document.write( "Train 2: \n" ); document.write( "d = 80 mph * (t-1.5) hrs \n" ); document.write( ". \n" ); document.write( "When Train 2 catches up to Train 1, they have traveled the same distance: d=d. \n" ); document.write( ". \n" ); document.write( "60t = 80(t-1.5) \n" ); document.write( "60t = 80t - 120 \n" ); document.write( "-20t = -120 \n" ); document.write( "t = 6 \n" ); document.write( ". \n" ); document.write( "So, the first train travels for 6 hr at 60 mph = 360 miles. \n" ); document.write( "and \n" ); document.write( "the second train travels for 4.5 hr at 80 mph = 360 miles. \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Re-read the question to make sure you answer it. \n" ); document.write( "What time with Train 2 overtake Train 1? \n" ); document.write( "Well, Train 1 left at 1 p.m. and traveled for 6 hr = 7 p.m. \n" ); document.write( ". \n" ); document.write( "Answer: Train 2 will overtake Train 1 at 7 p.m. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |