document.write( "Question 277419: a private airplane leaves an airport and flies due south at 192km/h. Two hours later a jet leaves the same airport and flies due south at 960km/h. When will the jet overtake the plane? \n" ); document.write( "

Algebra.Com's Answer #201968 by mananth(16946) $\"\"$ $\"About$

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a private airplane leaves an airport and flies due south at 192km/h. Two hours later a jet leaves the same airport and flies due south at 960km/h. When will the jet overtake the plane?\r
\n" ); document.write( "\n" ); document.write( "Let the distance at which they meet be x\r
\n" ); document.write( "\n" ); document.write( "In two hours the plane would have traveled 192*2 = 384 kms.\r
\n" ); document.write( "\n" ); document.write( "The time taken for plane to travel x-384 kms is the same as taken by jet when they meet.\r
\n" ); document.write( "\n" ); document.write( "time taken by plane = x- 384/192\r
\n" ); document.write( "\n" ); document.write( "The time taken by the jet = x/960 \r
\n" ); document.write( "\n" ); document.write( "x-384/192 = x/960\r
\n" ); document.write( "\n" ); document.write( "960x -368640 = 192x\r
\n" ); document.write( "\n" ); document.write( "960x-192x= 368640\r
\n" ); document.write( "\n" ); document.write( "768x=368640\r
\n" ); document.write( "\n" ); document.write( "x= 480 kms. or 480/960 = 1/2 hour. The jet will overtake after half hour \n" ); document.write( "

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