document.write( "Question 617107: Please help with this question.\r
\n" ); document.write( "\n" ); document.write( "Keiko bicycles 8km/h faster than Javier. In the same time it takes Javier to bicycle 30 km, Keiko can bicycle 54 km. How fast does each bicyclist travel?\r
\n" ); document.write( "\n" ); document.write( "Javier travels ___ km/h
\n" ); document.write( "Keiko travels ___ km/h \n" ); document.write( "

Algebra.Com's Answer #388133 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+j+\"$ = Javier's speed
\n" ); document.write( "Let $\"+k+\"$ = Keiko's speed
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+k+=+j+%2B+8+\"$
\n" ); document.write( "(2) $\"+30%2Fj+=+54%2Fk+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+30%2Fj+=+54%2F%28+j+%2B+8+%29+\"$
\n" ); document.write( "(2) $\"+30%2A%28+j+%2B+8+%29+=+54j+\"$
\n" ); document.write( "(2) $\"+30j+%2B+240+=+54j+\"$
\n" ); document.write( "(2) $\"+24j+=+240+\"$
\n" ); document.write( "(2) $\"+j+=+10+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+k+=+j+%2B+8+\"$
\n" ); document.write( "(1) $\"+k+=+10+%2B+8+\"$
\n" ); document.write( "(1) $\"+k+=+18+\"$
\n" ); document.write( "Javier travels 10 km/h
\n" ); document.write( "Keiko travels 18 km/h
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+30%2F10+=+54%2F18+\"$
\n" ); document.write( "(2) $\"+3+=+3+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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