document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172530>Question 1172530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Theresa can do a piece of work in 15 days. After she has worked 3 days, Rowena joins her and they finish work in 4 days. How long can Rowena finish the work alone? </SPAN>\n" );
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document.write( "Theresa working alone for 3 days completes 3/15 = 1/5 of the job; 4/5 of the job remains to be done.<br><BR>\n" );
document.write( "Theresa and Rowena together complete those 4/5 of the job in 4 days; that means together they complete 1/5 of the job each day.<br><BR>\n" );
document.write( "Each day Theresa alone does 1/15 of the job and together they do 1/5 of the job.  That means each day Rowena does 1/5-1/15 = 3/15-1/15 = 2/15 of the job.<br><BR>\n" );
document.write( "Since Rowena does 2/15 of the job each day, the number of days it would take Rowena to do the whole job alone is 15/2, or 7 1/2.<br><BR>\n" );
document.write( "ANSWER: 7 and a half days<br><BR>\n" );
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