document.write( "Question 337187: How far can airplane fly from its base, and yet return within 3 hours, if its outgoing speed is 600 kilometers per hour and its returning speed is 400 kilometers per hour? \n" ); document.write( "
Algebra.Com's Answer #241820 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! How far can airplane fly from its base, and yet return within 3 hours, \n" ); document.write( " if its outgoing speed is 600 kilometers per hour and its returning speed is 400 kilometers per hour? \n" ); document.write( ": \n" ); document.write( "let d = the one-way distance \n" ); document.write( ": \n" ); document.write( "Write a time equation, Time = dist/speed \n" ); document.write( "out time + return time = 3 hrs \n" ); document.write( " \n" ); document.write( "multiply by 1200 to get rid of the denominators, results \n" ); document.write( "2d + 3d = 3(1200) \n" ); document.write( "5d = 3600 \n" ); document.write( "d = \n" ); document.write( "d = 720 mi the plane can fly from it's base and return \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check by finding the times \n" ); document.write( "720/600 = 1.2 hrs \n" ); document.write( "720/400 = 1.8 hrs \n" ); document.write( "------------------- \n" ); document.write( "total time: 3 hrs; confirms our solution of 720 mi \n" ); document.write( " |