document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=840925>Question 840925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 1)5 men are hired to complete a job.If one more man is hired, the job can be completed 8 days earlier.Assuming that all the men work at the same rate, How many more men should be hired so that the job can be completed 28 days earlier?\r<BR>\n" );
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document.write( "Question 2)It is given that z is directly proportional to x2 and inversely proportional to &#8730;y <BR>\n" );
document.write( "i)Write down an equation connecting x, y and z<BR>\n" );
document.write( "ii) if z = 16 when x = 2 and y = 9 ,find the value of z when x =5 and y =4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #506600 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=506600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  5 men are hired to complete a job.<BR>\n" );
document.write( "If one more man is hired, the job can be completed 8 days earlier.<BR>\n" );
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document.write( "Let d = original number of days to complete the job<BR>\n" );
document.write( "5d = no. of man-days required<BR>\n" );
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document.write( "when one more man is hired<BR>\n" );
document.write( "6(d-8) = no. of man-days with six men<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "6(d-8) = 5d<BR>\n" );
document.write( "6d - 48 = 5d<BR>\n" );
document.write( "6d - 5d = 48<BR>\n" );
document.write( "d = 48 days when 5 men are hired<BR>\n" );
document.write( "5*48 = 240 man-days required to complete the job (same as 6*40)<BR>\n" );
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document.write( "Assuming that all the men work at the same rate, How many more men should be hired so that the job can be completed 28 days earlier?<BR>\n" );
document.write( "Let m = no. of additional men required <BR>\n" );
document.write( "(m+5)(48-28) = 240<BR>\n" );
document.write( "(m+5)*20 = 240<BR>\n" );
document.write( "20m + 100 = 240<BR>\n" );
document.write( "20m = 240 - 100<BR>\n" );
document.write( "m = 140/20<BR>\n" );
document.write( "m = 7 more men for a total of 12,<BR>\n" );
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document.write( "Check by finding the man-hrs 12*20 = 240 man-hrs completes the job<BR>\n" );
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document.write( ":<BR>\n" );
document.write( "It is given that z is directly proportional to x^2 and inversely proportional to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28y%29 ALIGN=MIDDLE  ALT=\"sqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "i)Write down an equation connecting x, y and z<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+x%5E2%2Fsqrt%28y%29 ALIGN=MIDDLE  ALT=\"z+=+x%5E2%2Fsqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "ii) if z = 16 when x = 2 and y = 9 <BR>\n" );
document.write( "let k = the constant of variation, and write the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%28kx%5E2%29%2Fsqrt%28y%29 ALIGN=MIDDLE  ALT=\"z+=+%28kx%5E2%29%2Fsqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find k<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+%28k2%5E2%29%2Fsqrt%289%29 ALIGN=MIDDLE  ALT=\"16+=+%28k2%5E2%29%2Fsqrt%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+%284k%29%2F3 ALIGN=MIDDLE  ALT=\"16+=+%284k%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3(16) = 4k<BR>\n" );
document.write( "4k = 48<BR>\n" );
document.write( "k = 48/4<BR>\n" );
document.write( "k = 12<BR>\n" );
document.write( "write the equation now as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%2812x%5E2%29%2Fsqrt%28y%29 ALIGN=MIDDLE  ALT=\"z+=+%2812x%5E2%29%2Fsqrt%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "find the value of z when x =5 and y =4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%2812%2A5%5E2%29%2Fsqrt%284%29 ALIGN=MIDDLE  ALT=\"z+=+%2812%2A5%5E2%29%2Fsqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+%2812%2A25%29%2F2 ALIGN=MIDDLE  ALT=\"z+=+%2812%2A25%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = 150<BR>\n" );
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document.write( "Any questions to ankor@att.net </SPAN>\n" );
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