document.write( "Question 522932: A plane leaves an airport and flies south at 184 mph. later, a second plane leaves the same airport and flies south at 460mph. If the second plane overtakes the first one in 1 1/2 hours, how long of a head start did the first plane have? \n" ); document.write( "
Algebra.Com's Answer #347080 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! d = r*t is the basic distance equation. \n" ); document.write( ". \n" ); document.write( "The first plane flies for 1 1/2 = 3/2 hr at 184 mph. \n" ); document.write( "d = 3/2 * 184 = 3 * 92 = 276 miles \n" ); document.write( ". \n" ); document.write( "The second also flies 276 miles to overtake the first plane \n" ); document.write( "It does this at a rate of 460 mph. \n" ); document.write( "So, it flies for a different amount of time. \n" ); document.write( "t = d/r \n" ); document.write( "t = 276/460 = 3/5 hr * 60 min/hr = 36 min \n" ); document.write( ". \n" ); document.write( "The first plane flies for 3/2 hr * 60 min/hr = 90 min \n" ); document.write( "So its head start was 90-36 = 54 minutes. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |