document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=611925>Question 611925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q1. if 2 men or 3 women or 6boys can do a piece o work in 70 days,in what time would 2 men, 6 women and 24 boys to do it?\r<BR>\n" );
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document.write( "Q2.30 men can do a job in 25 days when should 12 men can leave the work,if the whole is to be done in 35 days after they leave the work?\r<BR>\n" );
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document.write( "Q3.A and B can do a job together in 15 days. whereas A alone can do it in 21 days. if B does the work for only half a day, how long shall it take to do the job now by A and B? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #472111 by </B><A HREF=/tutors/aboutme.mpl?userid=vvnrichards><B>vvnrichards(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vvnrichards><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=472111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q1. If 2 men or 3 women or 6 boys can do a piece of work in 70 days,<BR>\n" );
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document.write( "2*70 = 140 man-days to finish the job<BR>\n" );
document.write( "therefore 140 days for one man to do the job<BR>\n" );
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document.write( "3*70 = 210 girl-days to finish the job<BR>\n" );
document.write( "therefore. 210 days required for 1 girl to do the job<BR>\n" );
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document.write( "6*70 = 420 boy-days to do the job<BR>\n" );
document.write( "therefore: 420 days for 1 boy to do the job<BR>\n" );
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document.write( "\"in what time would 2 men, 6 women and 24 boys to do it?<BR>\n" );
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document.write( "Let t = time required by this scenario<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t%2F140 ALIGN=MIDDLE  ALT=\"2t%2F140\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6t%2F210 ALIGN=MIDDLE  ALT=\"6t%2F210\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24t%2F%28420%29 ALIGN=MIDDLE  ALT=\"24t%2F%28420%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Reduce the fractions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F70 ALIGN=MIDDLE  ALT=\"t%2F70\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F35 ALIGN=MIDDLE  ALT=\"t%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t%2F%2835%29 ALIGN=MIDDLE  ALT=\"2t%2F%2835%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by 70 to clear the denominators, results<BR>\n" );
document.write( "t + 2t + 4t = 70<BR>\n" );
document.write( "7t = 70<BR>\n" );
document.write( "t = 10 days for this crew to do the job<BR>\n" );
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document.write( "Q2.30 men can do a job in 25 days <BR>\n" );
document.write( "30 * 25 = 750 man-days required to do the job<BR>\n" );
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document.write( "\"when should 12 men can leave the work, if the whole is to be done in 35 days after they leave the work?<BR>\n" );
document.write( "18 men work the whole 35 days<BR>\n" );
document.write( "let d = no. of days worked the 12 who leave<BR>\n" );
document.write( "35*18 + 12d = 750 <BR>\n" );
document.write( "630 + 12d = 750<BR>\n" );
document.write( "12d = 750 - 630<BR>\n" );
document.write( "12d = 120<BR>\n" );
document.write( "d = 10 days, the 12 men can leave<BR>\n" );
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document.write( "Q3. A and B can do a job together in 15 days. whereas A alone can do it in 21 days. :<BR>\n" );
document.write( "Find how long it would take B to do the job alone (b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F21 ALIGN=MIDDLE  ALT=\"15%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Fb ALIGN=MIDDLE  ALT=\"15%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by 21b, results:<BR>\n" );
document.write( "15b + 15(21) = 21b<BR>\n" );
document.write( "315 = 21b - 15b<BR>\n" );
document.write( "315 = 6b<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=315%2F6 ALIGN=MIDDLE  ALT=\"315%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 52.5 days, B alone<BR>\n" );
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document.write( "\" If B does the work for only half a day, how long shall it take to do the job now by A and B?\"<BR>\n" );
document.write( "Since B is only working for half a day, his rate will be halved.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F21 ALIGN=MIDDLE  ALT=\"1%2F21\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.5%2F52.5 ALIGN=MIDDLE  ALT=\".5%2F52.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fd ALIGN=MIDDLE  ALT=\"1%2Fd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "convert the 1st and 2nd fraction to a decimal<BR>\n" );
document.write( "d = 17.5 days  </SPAN>\n" );
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