document.write( "Question 152760: At 5:00 PM a plane leaves an airport and flies due north at 588 km/h. At 6:00 PM a second plane leaves the airport, also flying north but at 732 km/h. When does the second plane overtake the first? \n" ); document.write( "
Algebra.Com's Answer #112279 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! At 5:00 PM a plane leaves an airport and flies due north at 588 km/h. At 6:00 PM a second plane leaves the airport, also flying north but at 732 km/h. When does the second plane overtake the first? \n" ); document.write( ". \n" ); document.write( "You need to apply the \"distance formula\": \n" ); document.write( "d = rt \n" ); document.write( "where \n" ); document.write( "d is distance \n" ); document.write( "r is rate or speed \n" ); document.write( "t is time \n" ); document.write( ". \n" ); document.write( "Let x = amount of time it takes for second plane to catch up to the first plane \n" ); document.write( ". \n" ); document.write( "\"distance traveled by plane one\" = \"distance traveled by plane two\" \n" ); document.write( "588(x+1) = 732(x) \n" ); document.write( "588x + 588 = 732x \n" ); document.write( "588 = 144x \n" ); document.write( "588/144 = x \n" ); document.write( "4.083 hours = x \n" ); document.write( "or in terms of hours and minutes: \n" ); document.write( "4 hrs and .083(60) mins \n" ); document.write( "4 hrs and 4.98 mins \n" ); document.write( "or, in terms of hours, minutes and seconds: \n" ); document.write( "4 hrs, 4 mins and .98(60) seconds \n" ); document.write( "4 hrs, 4 mins and 59 seconds \n" ); document.write( ". \n" ); document.write( "Conclusion: \n" ); document.write( "6 PM plus 4 hrs, 4 mins and 59 seconds \n" ); document.write( "is \n" ); document.write( "10:04:59 PM \n" ); document.write( " \n" ); document.write( " |