document.write( "Question 904389: One car travels 5km/h faster than one another. It takes 1/6 h longer for the slower car to cover a distance of 130km. Find the speed of each car in kilometers per hour. \n" ); document.write( "
Algebra.Com's Answer #548658 by mananth(16946)\"\" \"About 
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Car I speed x mph
\n" ); document.write( "Car II speed 5 faster x + 5 mph
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\n" ); document.write( "Car I speed 130 miles
\n" ); document.write( "Car II speed 130 miles
\n" ); document.write( "Car I time = Car II time+1/6
\n" ); document.write( "t=d/r
\n" ); document.write( "130 / x = 130 /( x + 5 )+1/6\r
\n" ); document.write( "\n" ); document.write( "130 / x - 130 /( x + 5 )=1/6\r
\n" ); document.write( "\n" ); document.write( "multiply equation by 6x(x+5) LCM of denominator\r
\n" ); document.write( "\n" ); document.write( "130*6(x+5)-130*6x=6x(x+5)/6\r
\n" ); document.write( "\n" ); document.write( "780x +3900-780x=x^2+5x\r
\n" ); document.write( "\n" ); document.write( "x^2+5x-3900=0\r
\n" ); document.write( "\n" ); document.write( "x^2+65x-60x-3900=0\r
\n" ); document.write( "\n" ); document.write( "x(x+65)-60(x+65)=0\r
\n" ); document.write( "\n" ); document.write( "(x+65)(x-60)=0\r
\n" ); document.write( "\n" ); document.write( "x=60\r
\n" ); document.write( "\n" ); document.write( "speeds of cars are 60 & 65 km/h\r
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