document.write( "Question 539058: At noon, your family leaves Louisville on a trip to Memphis driving at 40 miles per hour. Your uncle leaves Memphis to come to Louisville 2 hours later. He is taking the same route and is driving 60 miles per hour. The two cities are 380 miles apart. At what time do the cars meet? \n" ); document.write( "
Algebra.Com's Answer #353492 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! At noon, your family leaves Louisville on a trip to Memphis driving at 40 miles per hour. \n" ); document.write( " Your uncle leaves Memphis to come to Louisville 2 hours later. \n" ); document.write( " He is taking the same route and is driving 60 miles per hour. \n" ); document.write( " The two cities are 380 miles apart. At what time do the cars meet? \n" ); document.write( ": \n" ); document.write( "Let t = your travel time \n" ); document.write( "then \n" ); document.write( "(t-2) = uncle's travel time who left two hours later \n" ); document.write( ": \n" ); document.write( "It helps to know that the sum of the distances of the two cars equal 380 mi \n" ); document.write( "Write a distance equation, dist = speed * time \n" ); document.write( ": \n" ); document.write( "your dist + Unc's dist = 380 miles \n" ); document.write( "40t + 60(t-2) = 380 \n" ); document.write( "40t + 60t - 120 = 380 \n" ); document.write( "40t + 60t = 380 + 120 \n" ); document.write( "100t = 500 \n" ); document.write( "t = \n" ); document.write( "t = 5 hrs is your travel time, you left at noon, therefore \n" ); document.write( "you meet at 5 PM \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "We can confirm this by finding the distance that each traveled \n" ); document.write( "40(5) = 200 mi \n" ); document.write( "60(3) = 180 mi, (left 2 hrs later) \n" ); document.write( "---------------- \n" ); document.write( "total = 380 mi \n" ); document.write( ": \n" ); document.write( "Did this make sense to you now? \n" ); document.write( " |