document.write( "Question 477121: Ok here is the problem.
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document.write( "An airplane flying at a rate of 500 miles per hour leaves Los Angeles.One-half hour later,a second airplane leaves Los Angeles in the same direction flying at a rate of 600 miles per hour.How long will it take the second airplane to overtake the first? \n" );
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Algebra.Com's Answer #327178 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! An airplane flying at a rate of 500 miles per hour leaves Los Angeles. \n" ); document.write( "One-half hour later,a second airplane leaves Los Angeles in the same direction flying at a rate of 600 miles per hour. \n" ); document.write( "How long will it take the second airplane to overtake the first? \n" ); document.write( ": \n" ); document.write( "Let t = the travel time of the 2nd airplane (faster) \n" ); document.write( "then \n" ); document.write( "(t+.5) = the travel time of the 1st airplane \n" ); document.write( ": \n" ); document.write( "When the 2nd plane catches up with the 1st they will have traveled the same distance. \n" ); document.write( "Write dist equation: dist = speed * time \n" ); document.write( ": \n" ); document.write( "Fast plane dist = slower plane dist \n" ); document.write( "600t = 500(t+.5) \n" ); document.write( "600t = 500t + 250 \n" ); document.write( "600t - 500t = 250 \n" ); document.write( "100t = 250 \n" ); document.write( "t = \n" ); document.write( "t = 2.5 hrs for the faster plane to catch the slower \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this by finding the dist each traveled, they should be equal \n" ); document.write( "600*2.5 = 1500 mi \n" ); document.write( "500(2.5+.5) = 1500 mi \n" ); document.write( " |