document.write( "Question 512012: Lem runs 10 mps. Uel runs 6 mps. With a 50 m head start for Uel, how long will it take Lem to catch up with Uel? \n" ); document.write( "

Algebra.Com's Answer #342476 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"d\"$ = distance Lem has to go
\n" ); document.write( " $\"+d+-+50+\"$ = distance Uel has to go
\n" ); document.write( "Let $\"+t\"$ = time that it takes Lem to catch Uel
\n" ); document.write( "given:
\n" ); document.write( "For Uel:
\n" ); document.write( "(1) $\"+d+-+50+=+6t+\"$
\n" ); document.write( "For Lem:
\n" ); document.write( "(2) $\"+d+=+10t+\"$
\n" ); document.write( "-------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+10t+-+50+=+6t+\"$
\n" ); document.write( "(1) $\"+4t+=+50+\"$
\n" ); document.write( "(1) $\"+t+=+12.5+\"$ sec
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+d+-+50+=+6%2A12.5+\"$
\n" ); document.write( "(1) $\"+d+-+50+=+75++\"$
\n" ); document.write( "(1) $\"+d+=+125+\"$ m
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+d+=+10%2A12.5+\"$
\n" ); document.write( "(2) $\"+d+=+125+\"$ m
\n" ); document.write( "OK \n" ); document.write( "

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