document.write( "Question 230064: after robbing a bank in brigton the dalton brothers galloped away at 24 km/h. 15 minutes later the posse left at 28 km/h. how long did it take the posse to overtake the dalton brothers? \n" ); document.write( "

Algebra.Com's Answer #170445 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
How far did the D Bros get in 1/4 hr?
\n" ); document.write( " $\"d+=+r%2At\"$
\n" ); document.write( " $\"d+=+24%2A%281%2F4%29\"$ km
\n" ); document.write( " $\"d+=+6\"$ km
\n" ); document.write( "So, they had a 6 km headstart. Now I start my
\n" ); document.write( "stopwatch. I'll stop it when posse catches them
\n" ); document.write( "For posse:
\n" ); document.write( "(1) $\"d%5Bp%5D+=+28t\"$
\n" ); document.write( "For D Bros:
\n" ); document.write( "(2) $\"d%5Bp%5D+-+6+=+24t\"$
\n" ); document.write( "Substitute (1) in (2)
\n" ); document.write( " $\"28t+-+6+=+24t\"$
\n" ); document.write( " $\"4t+-+6+=+0\"$
\n" ); document.write( " $\"4t+=+6\"$
\n" ); document.write( " $\"t+=+1.5\"$ hrs
\n" ); document.write( "The posse overtakes them in 1.5 hrs
\n" ); document.write( "check answer:
\n" ); document.write( "(1) $\"d%5Bp%5D+=+28t\"$
\n" ); document.write( " $\"d%5Bp%5D+=+28%2A1.5\"$
\n" ); document.write( " $\"d%5Bp%5D+=+42\"$ km
\n" ); document.write( "and
\n" ); document.write( "(2) $\"d%5Bp%5D+-+6+=+24t\"$
\n" ); document.write( " $\"d%5Bp%5D+-+6+=+24%2A1.5\"$
\n" ); document.write( " $\"d%5Bp%5D+=+36+%2B+6\"$
\n" ); document.write( " $\"d%5Bp%5D+=+42\"$ km
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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