document.write( "Question 5722: A jumbo jet left an airport at the same time as a small private plane that followed the same flight plan during the first hour of its flight. The speed of the jet was 5 times that of the small one, and at the end of the hour it was 500 mi ahead. What was the speed of the larger plane? \n" ); document.write( "
Algebra.Com's Answer #2985 by guapa(62)![]() ![]() ![]() You can put this solution on YOUR website! Let x represent the speed of the private plane. Then 5x is the speed of the jet. \n" ); document.write( "|----------------------------------->-----------------------------------------> \n" ); document.write( "|Distance of small plane in 1 hour | \n" ); document.write( "|--------------------Distance of the jumbo jet in one hour--------------------|\r \n" ); document.write( "\n" ); document.write( "Therefore we can say that the distance of the jet minus the distance of the private plane equals 500 miles. Let's set up the equation. \n" ); document.write( "5x - x = 500 Combine like terms \n" ); document.write( "4x = 500 Divide both sides by 4 \n" ); document.write( "4x/4 = 500/4 \n" ); document.write( "x = 125 \n" ); document.write( "Let's check: \n" ); document.write( "5(125) - 125 = 500 \n" ); document.write( "625 - 125 = 500 \n" ); document.write( "500 = 500 \n" ); document.write( "The speed of the private plane is 5 times the small one. 5x = 5(125) = 625 \n" ); document.write( "The speed of the larger plane was 625 miles/hour. \n" ); document.write( "Hope it helps \n" ); document.write( " |