document.write( "Question 1031723: a man made a trip of 432 miles by car. if the average speed had been 6 miles per hour faster, the trip would have taken one hour less. how long did the trip take and what was his average speed? \n" ); document.write( "

Algebra.Com's Answer #646397 by mananth(16946) $\"\"$ $\"About$

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speed x
\n" ); document.write( "speed x + 6
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\n" ); document.write( "Distance = same 432 km 1
\n" ); document.write( "original time – time with increased speed = 1 hour
\n" ); document.write( "t=d/t \r
\n" ); document.write( "\n" ); document.write( "432 / x - 432 / ( x + 6 ) = 1
\n" ); document.write( "LCD= x ( x + 6 )
\n" ); document.write( "multiply by LCD
\n" ); document.write( "432 ( x + 6 ) - 432 x = 1 x ( x + 6 )
\n" ); document.write( "432 x + 2592 - 432 x = 1 X^2 + 6 x
\n" ); document.write( "2592 = x^2 + 6 x
\n" ); document.write( " x^2 + 6 x - -2592 = 0
\n" ); document.write( "x^2 +6x +9 = 2592+9\r
\n" ); document.write( "\n" ); document.write( "(x+3)^2 =2601\r
\n" ); document.write( "\n" ); document.write( "(x+3) = +/- $\"2601\"$ \r
\n" ); document.write( "\n" ); document.write( "x+3 = +/- 51\r
\n" ); document.write( "\n" ); document.write( "x= 51-3 = 48 km/h\r
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