document.write( "Question 348054: jodie bicycles 7km faster than dennis, in the same time it takes dennis to bicycle 60km, jodie can bicycle 81km, how fast does each bicyclist travel \n" ); document.write( "

Algebra.Com's Answer #248868 by mananth(16946) $\"\"$ $\"About$

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dennis's speed be x kph
\n" ); document.write( "Jodie's speed = x+7 kph
\n" ); document.write( "...
\n" ); document.write( "Dennis 60 km
\n" ); document.write( "Jodie = 81 km
\n" ); document.write( "...
\n" ); document.write( "The times are same
\n" ); document.write( "...
\n" ); document.write( " $\"+time+=+distance+%2F+speed+\"$
\n" ); document.write( " $\"60%2Fx+=+81%2F%28x%2B7%29\"$
\n" ); document.write( "60(x+7)=81x
\n" ); document.write( "60x+420=81x
\n" ); document.write( "81x-60x=420
\n" ); document.write( "21x=420
\n" ); document.write( "/21
\n" ); document.write( "x=420/21
\n" ); document.write( "x=20 kph speed of Dennis
\n" ); document.write( "x+7 = 20+7 = 27 = Jodie's speed \n" ); document.write( "

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