document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179997>Question 1179997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Aaron works two times as fast as Michael. Aaron can finish a job in 1 hour. If Aaron and Michael are working together, how long will it take them to finish the job? </SPAN>\n" );
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document.write( "Informally....<br><BR>\n" );
document.write( "Since Aaron works twice as fast as Michael, Michael is like one-half of Aaron.<BR>\n" );
document.write( "When they work together, that is like having 1 1/2 Aarons, or 3/2 Aarons.<BR>\n" );
document.write( "When there are 3/2 as many workers, the job takes 2/3 as long.<br><BR>\n" );
document.write( "ANSWER: 2/3 of 1 hour<br><BR>\n" );
document.write( "The same thing, with formal algebra....<br><BR>\n" );
document.write( "Aaron can do the whole job in 1 hour --> 1/1 = fraction of job Aaron does in 1 hour<BR>\n" );
document.write( "Aaron works twice as fast as Michael --> 1/2 = fraction of job Michael does in 1 hour<BR>\n" );
document.write( "1/1 + 1/2 = 2/2 + 1/2 = 3/2 = fraction of job the two together can do in 1 hour<BR>\n" );
document.write( "The number of hours required for the two of them to do the job together is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%283%2F2%29+=+2%2F3 ALIGN=MIDDLE  ALT=\"1%2F%283%2F2%29+=+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );