document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=725050>Question 725050</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. a man cover a distance of 6 km at the rate of 4km/h & cover a distance of 4 km at rate of 3km/h . what is his average speed?\r<BR>\n" );
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document.write( "2. the average marks obtained by 120 candidate is 35. if average marks of pass candidate is 39 and that of fail candidate is 15 , what is the number of candidate who passed in examination?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #443977 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=443977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. a man cover a distance of 6 km at the rate of 4km/h & cover a distance of 4 km at rate of 3km/h .<BR>\n" );
document.write( " what is his average speed?<BR>\n" );
document.write( "The total distance traveled: 10km<BR>\n" );
document.write( "let a = the average speed for the trip<BR>\n" );
document.write( "Write a time equation, time = distance/speed<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F4 ALIGN=MIDDLE  ALT=\"6%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3 ALIGN=MIDDLE  ALT=\"4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2Fa ALIGN=MIDDLE  ALT=\"10%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply equation by 12a to clear the denominators, resulting in:<BR>\n" );
document.write( "3a(6) + 4a(4) = 12(10)<BR>\n" );
document.write( "18a + 16a = 120<BR>\n" );
document.write( "34a = 120<BR>\n" );
document.write( "a = 120/34<BR>\n" );
document.write( "a ~ 3.53 km/hr is his average speed<BR>\n" );
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document.write( "2. the average marks obtained by 120 candidate is 35.<BR>\n" );
document.write( " if average marks of pass candidate is 39 and that of fail candidate is 15, what is the number of candidate who passed in examination?<BR>\n" );
document.write( "let p = number that passed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(120-p) = number that failed<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2839p+%2B+15%28120-p%29%29%29%2F120 ALIGN=MIDDLE  ALT=\"%28%2839p+%2B+15%28120-p%29%29%29%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 35<BR>\n" );
document.write( "multiply both sides by 120<BR>\n" );
document.write( "39p + 15(120-p) = 120(35)<BR>\n" );
document.write( "39p + 1800 - 15p = 4200<BR>\n" );
document.write( "39p - 15p = 4200 - 1800<BR>\n" );
document.write( "24p = 2400<BR>\n" );
document.write( "p = 100 passed<BR>\n" );
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document.write( "You should check these solutions in the original equations. </SPAN>\n" );
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