document.write( "Question 763744: After robbing a bank in Dodge City, a robber gallops off at 12 mi/h. 10 minutes later, the marshall leaves to pursue the robber at 16 mi/h. How long (in hours) does it take the marshall to catch up to the robber? \n" ); document.write( "

Algebra.Com's Answer #464980 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Convert $\"+10+\"$ min to hours
\n" ); document.write( " $\"+10%2F60+\"$ hrs
\n" ); document.write( "--------------
\n" ); document.write( "What is the robbers head start in miles?
\n" ); document.write( " $\"+d%5B1%5D+=+12%2A%28+10%2F60+%29+\"$
\n" ); document.write( " $\"+d%5B1%5D+=+2+\"$ mi
\n" ); document.write( "---------------
\n" ); document.write( "Start a stopwatch when the marshall leaves
\n" ); document.write( "Let $\"+t+\"$ = time on stopwatch when he catches robber
\n" ); document.write( "Let $\"+d+\"$ = distance in miles that Marshall has to go
\n" ); document.write( "until he catches robber
\n" ); document.write( "---------------
\n" ); document.write( "Robber's equation:
\n" ); document.write( "(1) $\"+d+-+2+=+12t+\"$
\n" ); document.write( "Marshall's equation:
\n" ); document.write( "(2) $\"+d+=+16t+\"$
\n" ); document.write( "--------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+16t+-+2+=+12t+\"$
\n" ); document.write( "(1) $\"+4t+=+2+\"$
\n" ); document.write( "(1) $\"+t+=+1%2F2+\"$
\n" ); document.write( "the marshall catches robber in a half-hour
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+d+=+16t+\"$
\n" ); document.write( "(2) $\"+d+=+16%2A.5+\"$
\n" ); document.write( "(2) $\"+d+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+d+-+2+=+12%2A.5+\"$
\n" ); document.write( "(1) $\"+d+=+2+%2B+6+\"$
\n" ); document.write( "(1) $\"+d+=+8+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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