document.write( "Question 212205This question is from textbook Algebra For College Students
\n" ); document.write( ": Johnny leaves Memphis to visit Anne, who lives in Hornsby, TN, 80 miles away. He travels at an average speed of 50 mph. One-half hour later, Anne leaves to visit Johnny, traveling at an average speed of 60 mph. How long after Anne leaves will it be before they meet?\r
\n" ); document.write( "\n" ); document.write( "I have tried to work this a few ways and I know that due to Johnny's speed of 50 mph, he gets 25 miles closer to Anne in the half hour he is traveling before she starts. After that I am lost.
\n" ); document.write( "

Algebra.Com's Answer #160275 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Johnny leaves Memphis to visit Anne, who lives in Hornsby, TN, 80 miles away.
\n" ); document.write( " He travels at an average speed of 50 mph. One-half hour later,
\n" ); document.write( "Anne leaves to visit Johnny, traveling at an average speed of 60 mph.
\n" ); document.write( " How long after Anne leaves will it be before they meet?
\n" ); document.write( ":
\n" ); document.write( "Let t = Anne's travel time
\n" ); document.write( "then
\n" ); document.write( "(t+.5) = John's travel time (half hour longer the Anne)
\n" ); document.write( ":
\n" ); document.write( "When they meet, they will have traveled a total of 80 mi
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation: Dist = speed * time
\n" ); document.write( ":
\n" ); document.write( "J's dist + A's dist = 80 mi
\n" ); document.write( "50(t+.5) + 60t = 80
\n" ); document.write( "50t + 25 + 60t = 80
\n" ); document.write( "50t + 60t = 80 - 25
\n" ); document.write( "110t = 55
\n" ); document.write( "t = \"55%2F110\"
\n" ); document.write( "t = \"1%2F2\" hr is A's travel time
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solution by finding the total dist:
\n" ); document.write( "60*.5 = 30
\n" ); document.write( "50*(.5+.5) = 50 mi
\n" ); document.write( "-----------------
\n" ); document.write( "total dist 80 mi
\n" ); document.write( "
\n" );