document.write( "Question 904823: A modern jet plane can go 400 mph more than twice as fast as a diesel powered train. IF the train can run 165 mi. in the same time that the plane can fly 1210mi., find the rate of each? \n" ); document.write( "
Algebra.Com's Answer #548902 by mananth(16946)\"\" \"About 
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Times are equal\r
\n" ); document.write( "\n" ); document.write( "Apply conditions and equate\r
\n" ); document.write( "\n" ); document.write( " diesel powered train speed = x\r
\n" ); document.write( "\n" ); document.write( "A modern jet plane can go 400 mph more than twice as fast as a diesel powered train.\r
\n" ); document.write( "\n" ); document.write( "speed = 2x+400\r
\n" ); document.write( "\n" ); document.write( "d/r train = d/r plane\r
\n" ); document.write( "\n" ); document.write( "165/x = 1210/(2x+400)\r
\n" ); document.write( "\n" ); document.write( "165(2x+400)=1210x\r
\n" ); document.write( "\n" ); document.write( "330x+66000=1210x\r
\n" ); document.write( "\n" ); document.write( "880x=66000
\n" ); document.write( "/880\r
\n" ); document.write( "\n" ); document.write( "x= 75 mph speed of train\r
\n" ); document.write( "\n" ); document.write( "speed of plane = (2x+4)\r
\n" ); document.write( "\n" ); document.write( "2*75+400
\n" ); document.write( "=150+400
\n" ); document.write( "550 mph
\n" ); document.write( " IF the train can run 165 mi. in the same time that the plane can fly 1210mi., find the rate of each?
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