document.write( "Question 828803: A private airplane leaves an airport and flies due south at 192 km/h. Two hours later a jet leaves the same airport and flies due south at 960 km/h. When will the jet overtake the plane? \n" ); document.write( "
Algebra.Com's Answer #499561 by mananth(16946)![]() ![]() You can put this solution on YOUR website! the distance traveled by both is same when one catches up with the other. \n" ); document.write( "Let them meet at distance x \n" ); document.write( "Plane speed= 192 mph , starts at \n" ); document.write( "Jet speed= 960 mph starts at \n" ); document.write( " \n" ); document.write( "Time difference between the starting of the two= 2.00 hours \n" ); document.write( " \n" ); document.write( "Time taken by Plane = X / 192 \n" ); document.write( "Time taken by Jet = X / 960 \n" ); document.write( " \n" ); document.write( "X / 192 - X / 960 = 2 \n" ); document.write( " \n" ); document.write( "LCD - 960 \n" ); document.write( "Multiply equation by 960 960 \n" ); document.write( " \n" ); document.write( "5 x - 1 x = 1920 \n" ); document.write( "4 x = 1920 \n" ); document.write( "/ 4 \n" ); document.write( "x= 480 miles \n" ); document.write( "Jet speed= 960 mph \n" ); document.write( "Distance = 480 miles \n" ); document.write( "Time taken = 480 / 960 \n" ); document.write( "Time taken = 0.5 hours \n" ); document.write( " \n" ); document.write( " |