document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=678410>Question 678410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1). A team of workers must to finish 360 parts. They<BR>\n" );
document.write( "finish 4 more parts in a day so they finish the work 1 day<BR>\n" );
document.write( "earlier. In how many days they finish all 360 parts?<BR>\n" );
document.write( "2). Two pipes fill a pool in 6 hours together. First pipe fill<BR>\n" );
document.write( "5 hours faster than second pipe. In how many hours both<BR>\n" );
document.write( "of pipes fill the pool separately.<BR>\n" );
document.write( "3). For a field two tractors are working. First tractor<BR>\n" );
document.write( "finish the work alone 1 day earlier than second tractor<BR>\n" );
document.write( "alone. After they work together for 2 days first tractor<BR>\n" );
document.write( "went out and the second tractor finish the rest of field in<BR>\n" );
document.write( "0,5 days. In how many days both of the tractors can<BR>\n" );
document.write( "finish the field alone?<BR>\n" );
document.write( "4). A machine made 208 parts in 3 days. In the first day<BR>\n" );
document.write( "the machine made normal amount of parts. In the second<BR>\n" );
document.write( "day it made 15% more parts and in the third day it made<BR>\n" );
document.write( "10 more parts from the second day. How many parts it<BR>\n" );
document.write( "made in every day? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #421380 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=421380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1). A team of workers must finish 360 parts. They finish 4 more parts in a day so they finish the work 1 day earlier. <BR>\n" );
document.write( "In how many days they finish all 360 parts?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let p = normal no. of parts per day<BR>\n" );
document.write( "Let t = normal no. of days to finish 360 parts<BR>\n" );
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document.write( "Write an equation for each scenario:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Fp ALIGN=MIDDLE  ALT=\"360%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > = t<BR>\n" );
document.write( "When 4 more are done per day:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F%28p%2B4%29 ALIGN=MIDDLE  ALT=\"360%2F%28p%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = t - 1<BR>\n" );
document.write( "Replace t<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F%28p%2B4%29 ALIGN=MIDDLE  ALT=\"360%2F%28p%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Fp ALIGN=MIDDLE  ALT=\"360%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 1<BR>\n" );
document.write( "multiply by p(p+4) to get rid of the denominators<BR>\n" );
document.write( "360p = 360(p+4) - p(p+4)<BR>\n" );
document.write( "360p = 360p + 1440 - p^2 - 4p<BR>\n" );
document.write( "combine like terms and form a quadratic equation on the left<BR>\n" );
document.write( "p^2 + 4p - 1440 = 0<BR>\n" );
document.write( "You can factor this to<BR>\n" );
document.write( "(p+40)(p-36) = 0<BR>\n" );
document.write( "the positive solution is all we want here<BR>\n" );
document.write( "p = 36 parts a day normally<BR>\n" );
document.write( "Find the normal number of days to finish 360 parts<BR>\n" );
document.write( "360/36 = 10 days<BR>\n" );
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document.write( "Find the number of days when 4 more parts a day are completed<BR>\n" );
document.write( "360/40 = 9 days, one day earlier<BR>\n" );
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document.write( ":<BR>\n" );
document.write( "2). Two pipes fill a pool in 6 hours together.<BR>\n" );
document.write( " First pipe fill 5 hours faster than second pipe.<BR>\n" );
document.write( " In how many hours do both of pipes fill the pool separately.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = time required by the 1st pipe<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+5) = time required by the 2nd pipe<BR>\n" );
document.write( "Let the complete job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A typical shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Fx ALIGN=MIDDLE  ALT=\"6%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F%28%28x%2B5%29%29 ALIGN=MIDDLE  ALT=\"6%2F%28%28x%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply by x(x+5), obtain a quadratic equation, and solve it<BR>\n" );
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document.write( "3). For a field two tractors are working. <BR>\n" );
document.write( "First tractor finishes the work alone 1 day earlier than second tractor alone.<BR>\n" );
document.write( " After they work together for 2 days, the  first tractor went out and the second tractor finished the rest of field in 0,5 days.<BR>\n" );
document.write( " In how many days both of the tractors can finish the field alone?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = time (days) for the 1st tractor alone<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+1) = time for the 2nd tractor alone<BR>\n" );
document.write( "Let the completed job = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ft ALIGN=MIDDLE  ALT=\"2%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5%2F%28%28t%2B1%29%29 ALIGN=MIDDLE  ALT=\"2.5%2F%28%28t%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "do this the same way as no. 2<BR>\n" );
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document.write( "4). A machine made 208 parts in 3 days.<BR>\n" );
document.write( " In the first day the machine made a normal amount of parts.<BR>\n" );
document.write( "let p = the no. made the 1st day<BR>\n" );
document.write( ":<BR>\n" );
document.write( " In the second day it made 15% more parts<BR>\n" );
document.write( "1.15p = no. on the 2nd day<BR>\n" );
document.write( ":<BR>\n" );
document.write( " and in the third day it made 10 more parts from the second day.<BR>\n" );
document.write( "1.15p + 10<BR>\n" );
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document.write( " How many parts did it make every day?<BR>\n" );
document.write( "p + 1.15p + (1.15p+10) = 208<BR>\n" );
document.write( "find p </SPAN>\n" );
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