document.write( "Question 953993: Express commuter train #12 leaves the downtown station and travels at an average speed of 50miles per hour towards the north side station, which is 60miles away. Fifteen minutes later, express commuter train #7 leaves the north side station and travels at an average speed of 45miles per hour towards the downtown station.
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document.write( "At the moment when the two trains pass each other, how far (in miles) is the #12 train from the downtown station and how long (in minutes) has the #12 train have been traveling? \n" );
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Algebra.Com's Answer #582675 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Express commuter train #12 leaves the downtown station and travels at an average speed of 50miles per hour towards the north side station, which is 60 miles away. \n" ); document.write( ": \n" ); document.write( " Fifteen minutes later, express commuter train #7 leaves the north side station and travels at an average speed of 45miles per hour towards the downtown station. \n" ); document.write( ": \n" ); document.write( "At the moment when the two trains pass each other, how far (in miles) is the #12 train from the downtown station and how long (in minutes) has the #12 train have been traveling? \n" ); document.write( ": \n" ); document.write( "let t = travel time of #7 (in hrs, because we are dealing in mph)) \n" ); document.write( "then \n" ); document.write( "(t+.25) = travel time of #12 (in hrs, left 15 min earlier) \n" ); document.write( ":) \n" ); document.write( "When the two trains meet, their total travel distances add up to 60 miles. \n" ); document.write( "Write a distance equation, dist = speed * time \n" ); document.write( ": \n" ); document.write( "#12 dist + #7 dist = 60 mi \n" ); document.write( "50(t+.25) + 45t = 60 \n" ); document.write( "50t + 12.5 + 45t = 60 \n" ); document.write( "95t = 60 - 12.5 \n" ); document.write( "95t = 47.5 \n" ); document.write( "t = 47.5/95 \n" ); document.write( "t = .5 hrs, travel time of #7 \n" ); document.write( "then \n" ); document.write( ".5 + .25 = .75 hrs is the travel time of #12 \n" ); document.write( "Find how far #12 has traveled in this time \n" ); document.write( ".75*50 = 37.5 mi from the the downtown station \n" ); document.write( ": \n" ); document.write( "\"and how long (in minutes) has the #12 train have been traveling?\" \n" ); document.write( "convert to min: .75(60) = 45 min \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "Confirm this solution by finding the distance traveled by #7 \n" ); document.write( ".5*45 = 22.5 mi \n" ); document.write( "Total distance should add up to 60 \n" ); document.write( "22.5 + 37.5 = 60 mi \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "I have to commend you. \n" ); document.write( "The problem is written with Capital letters, punctuation, and correct spelling. \n" ); document.write( "Unfortunately, you are the exception, not the rule around here. \n" ); document.write( " |