document.write( "Question 212205This question is from textbook Algebra For College Students
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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
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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" );
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Algebra.Com's Answer #160275 by ankor@dixie-net.com(22740)![]() ![]() 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 = \n" ); document.write( "t = \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( " |