document.write( "Question 977000: Express commuter train #12 leaves the downtown station and travels at an average speed of 45miles per hour towards the north side station, which is 53.75miles away. Fifteen minutes later, express commuter train #7 leaves the north side station and travels at an average speed of 40miles per hour towards the downtown station.
\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( "If the answer is not an integer, enter it as decimal.
\n" ); document.write( "12 train is ? miles from the downtown station and has been traveling for ? minutes. \n" ); document.write( "
Algebra.Com's Answer #598726 by ankor@dixie-net.com(22740)\"\" \"About 
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Express commuter train #12 leaves the downtown station and travels at an average speed of 45miles per hour towards the north side station, which is 53.75miles away.
\n" ); document.write( " Fifteen minutes later, express commuter train #7 leaves the north side station and travels at an average speed of 40miles per hour towards the downtown station.
\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( "Change 15 min to .25 hrs
\n" ); document.write( "let t = travel time of #12 train
\n" ); document.write( "then
\n" ); document.write( "(t-.25) = travel time of #7
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation, dist = speed * time
\n" ); document.write( "When the two trains meet the sum of their travel distances = 53.7 mi
\n" ); document.write( "45t + 40(t-.25) = 53.7
\n" ); document.write( "45t + 40t - 10 = 53.75
\n" ); document.write( "85t = 53.7 + 10
\n" ); document.write( "85t = 63.7
\n" ); document.write( "t = 63.7/85
\n" ); document.write( "t = .7494 hr which is: .7494(60) = 44.96 minutes
\n" ); document.write( "Find the distance #12 has traveled in this time
\n" ); document.write( "45*.7494 = 33.7 mi
\n" ); document.write( ":
\n" ); document.write( "12 train is ? miles from the downtown station: 33.7 mi
\n" ); document.write( " and has been traveling for 44.96 minutes.
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "We cam confirm this by finding the dist #7 travels
\n" ); document.write( "40(.7494-.25) =
\n" ); document.write( "40(.5) = 20 mi, the dist of #7
\n" ); document.write( "20 + 33.7 = 53.7 mi \n" ); document.write( "
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