document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152908>Question 152908</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The rate of motorcycle is 40 mph greater than the rate of a bicycle.  The motorcycle travels 150 miles in the same amount of time as the bicycle travels 30 miles.  Find the rate of the motocycle.\r<BR>\n" );
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document.write( "two people working together can do a job in 3 hrs.  How long will it take the slower person to do the same job if one of them is 3 times as fast as the other?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112366 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=112366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The rate of motorcycle is 40 mph greater than the rate of a bicycle.  The motorcycle travels 150 miles in the same amount of time as the bicycle travels 30 miles.  Find the rate of the motocycle.\r<BR>\n" );
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document.write( "m=rate of motorcycle<BR>\n" );
document.write( "b=rate of bike<BR>\n" );
document.write( "m=b+40\r<BR>\n" );
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document.write( "150/b+40=30/b-----------------------because miles over mph gives you the time, which is equal in this case.\r<BR>\n" );
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document.write( "Cross multiply<BR>\n" );
document.write( "150b=30b+1200\r<BR>\n" );
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document.write( "Subtract 30b from both sides<BR>\n" );
document.write( "120b=1200\r<BR>\n" );
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document.write( "Divide both sides by 120<BR>\n" );
document.write( "b=10\r<BR>\n" );
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document.write( "m=b+40<BR>\n" );
document.write( "m=10+40<BR>\n" );
document.write( "m=50\r<BR>\n" );
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document.write( "Answer:<BR>\n" );
document.write( "Bike=10mph<BR>\n" );
document.write( "Motorcycle=50mph<BR>\n" );
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document.write( "two people working together can do a job in 3 hrs.  How long will it take the slower person to do the same job if one of them is 3 times as fast as the other?\r<BR>\n" );
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document.write( "together=1/3 (of the job in an hour)<BR>\n" );
document.write( "one person=x<BR>\n" );
document.write( "other person=3x\r<BR>\n" );
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document.write( "x+3x=1/3\r<BR>\n" );
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document.write( "Combine like terms<BR>\n" );
document.write( "4x=1/3\r<BR>\n" );
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document.write( "Divide both sides by 4<BR>\n" );
document.write( "x=1/12\r<BR>\n" );
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document.write( "1/12 of the job in one hour, so the whole job in 12 hours.\r<BR>\n" );
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document.write( "Answer: The slower person can do the job alone in 12 hours.<BR>\n" );
document.write( "* The faster person can do the job alone in 4 hours. </SPAN>\n" );
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