document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=291540>Question 291540</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man covers a certain distance on scootr. Had he moved 3kmph faster, he would have taken 40min less,if he had moved 2kmph slower he would have taken 40 min more.The distance in (km)is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #210973 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=210973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A man covers a certain distance on scooter. <BR>\n" );
document.write( "Had he moved 3 kmph faster, he would have taken 40 min less,<BR>\n" );
document.write( "if he had moved 2 kmph slower he would have taken 40 min more.<BR>\n" );
document.write( "The distance in (km)is:<BR>\n" );
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document.write( "I don't think there is a unique solution to this, time, speed, and distance<BR>\n" );
document.write( " are all unknown, but we can try and find at least one integer solution<BR>\n" );
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document.write( "We can say the faster time is 80 min less than the slower time<BR>\n" );
document.write( "80 min = 80/60 = <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;\" > hrs<BR>\n" );
document.write( "and<BR>\n" );
document.write( "fast speed is 5 mph more than the slow speed<BR>\n" );
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document.write( "s = slow speed<BR>\n" );
document.write( "(s+5) = fast speed<BR>\n" );
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document.write( "Let d = the distance<BR>\n" );
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document.write( "Write a time equation: Time = dist/speed<BR>\n" );
document.write( "slow time - fast time = 4/3 hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2Fs ALIGN=MIDDLE  ALT=\"d%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F%28%28s%2B5%29%29%7D%7D%29+=+%7B%7B%7B4%2F3 ALIGN=MIDDLE  ALT=\"d%2F%28%28s%2B5%29%29%7D%7D%29+=+%7B%7B%7B4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by 3s(s+5), results<BR>\n" );
document.write( "3d(s+5) - 3ds = 4s(s+5)<BR>\n" );
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document.write( "3ds + 15d - 3ds = 4s^2 + 20s<BR>\n" );
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document.write( "d(3s+15-3s) = 4s^2 + 20s<BR>\n" );
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document.write( "d(15) = 4s^2 + 20s<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284s%5E2+%2B+20s%29%2F15 ALIGN=MIDDLE  ALT=\"%284s%5E2+%2B+20s%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "One integer solution to d results when s = 10 <BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2810%5E2%29+%2B+20%2810%29%29%2F15 ALIGN=MIDDLE  ALT=\"%284%2810%5E2%29+%2B+20%2810%29%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28400+%2B+200%29%2F15 ALIGN=MIDDLE  ALT=\"%28400+%2B+200%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F15 ALIGN=MIDDLE  ALT=\"600%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 40 km is the distance when the slower speed = 10 km/hr<BR>\n" );
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document.write( "See if that is true, <BR>\n" );
document.write( "his original speed, 2 mi faster than the slowest speed then s= 12 km/hr<BR>\n" );
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document.write( "If he went 3 km/hr faster = 15 km/hr<BR>\n" );
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document.write( "Check the time difference when 3 km/hr faster<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F12 ALIGN=MIDDLE  ALT=\"40%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F15 ALIGN=MIDDLE  ALT=\"40%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "3.33  - 2.66 = .67 hrs; which is .67*60 = 40.2 ~ 40 min<BR>\n" );
document.write( "and when it's 2 km/hr slower<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F10 ALIGN=MIDDLE  ALT=\"40%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F12 ALIGN=MIDDLE  ALT=\"40%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <BR>\n" );
document.write( "4  - 3.33 = .67 hrs; which is .67*60 = 40.2 ~ 40 min<BR>\n" );
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document.write( "Bear in mind this is only one of many solutions<BR>\n" );
document.write( " </SPAN>\n" );
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