document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200497>Question 1200497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bicycle is traveling at 20 miles per hour.<BR>\n" );
document.write( "How many feet will it cover in 30 seconds?<BR>\n" );
document.write( "Round your answer to the nearest tenth of a foot. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #834635 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=834635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "1 mile = 5280 ft<BR>\n" );
document.write( "1 hour = 60 min<BR>\n" );
document.write( "1 min = 60 sec\r<BR>\n" );
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document.write( "Converting from mph to ft per sec<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Amatrix%281%2C2%2C20%2C%22mph%22%29%0D%0A=%0D%0A%28matrix%281%2C2%2C20%2C%22mi%22%29%2Fmatrix%281%2C2%2C1%2C%22hr%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C5280%2C%22ft%22%29%2Fmatrix%281%2C2%2C1%2C%22mi%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C1%2C%22hr%22%29%2Fmatrix%281%2C2%2C60%2C%22min%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C1%2C%22min%22%29%2Fmatrix%281%2C2%2C60%2C%22sec%22%29%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Amatrix%281%2C2%2C20%2C%22mph%22%29%0D%0A=%0D%0A%28matrix%281%2C2%2C20%2Ccross%28%22mi%22%29%29%2Fmatrix%281%2C2%2C1%2C%22hr%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C5280%2C%22ft%22%29%2Fmatrix%281%2C2%2C1%2Ccross%28%22mi%22%29%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C1%2C%22hr%22%29%2Fmatrix%281%2C2%2C60%2C%22min%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C1%2C%22min%22%29%2Fmatrix%281%2C2%2C60%2C%22sec%22%29%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \"miles\" units cancel\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Amatrix%281%2C2%2C20%2C%22mph%22%29%0D%0A=%0D%0A%28matrix%281%2C2%2C20%2C%22%22%29%2Fmatrix%281%2C2%2C1%2Ccross%28%22hr%22%29%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C5280%2C%22ft%22%29%2Fmatrix%281%2C2%2C1%2C%22%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C1%2Ccross%28%22hr%22%29%29%2Fmatrix%281%2C2%2C60%2C%22min%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C1%2C%22min%22%29%2Fmatrix%281%2C2%2C60%2C%22sec%22%29%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \"hours\" units cancel\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Amatrix%281%2C2%2C20%2C%22mph%22%29%0D%0A=%0D%0A%28matrix%281%2C2%2C20%2C%22%22%29%2Fmatrix%281%2C2%2C1%2C%22%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C5280%2C%22ft%22%29%2Fmatrix%281%2C2%2C1%2C%22%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C1%2C%22%22%29%2Fmatrix%281%2C2%2C60%2Ccross%28%22min%22%29%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C1%2Ccross%28%22min%22%29%29%2Fmatrix%281%2C2%2C60%2C%22sec%22%29%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \"minutes\" units cancel<BR>\n" );
document.write( "The only thing left will be \"ft\" up top and \"sec\" down below<BR>\n" );
document.write( "That gives the speed unit ft/sec aka \"feet per second\", often abbreviated to fps.\r<BR>\n" );
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document.write( "Let's finish up the calculation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Amatrix%281%2C2%2C20%2C%22mph%22%29%0D%0A=%0D%0A%28matrix%281%2C2%2C20%2C%22%22%29%2Fmatrix%281%2C2%2C1%2C%22%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C5280%2C%22ft%22%29%2Fmatrix%281%2C2%2C1%2C%22%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C1%2C%22%22%29%2Fmatrix%281%2C2%2C60%2C%22%22%29%29%0D%0A%2A%0D%0A%28matrix%281%2C2%2C1%2C%22%22%29%2Fmatrix%281%2C2%2C60%2C%22sec%22%29%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Amatrix%281%2C2%2C20%2C%22mph%22%29%0D%0A=%0D%0Amatrix%281%2C2%2C%2820%2A5280%2A1%2A1%29%2F%281%2A1%2A60%2A60%29%2C%22ft%2Fsec%22%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Amatrix%281%2C2%2C20%2C%22mph%22%29%0D%0A=%0D%0Amatrix%281%2C2%2C%28105600%29%2F%283600%29%2C%22ft%2Fsec%22%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Amatrix%281%2C2%2C20%2C%22mph%22%29%0D%0A=%0D%0Amatrix%281%2C2%2C29.33333333%2C%22ft%2Fsec%22%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > which is approximate; the '3's go on forever.\r<BR>\n" );
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document.write( "The person biking at 20 mph is moving at roughly 29.33333333 ft/sec\r<BR>\n" );
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document.write( "distance = rate*time<BR>\n" );
document.write( "distance = (29.33333333 ft/sec)*(30 sec)<BR>\n" );
document.write( "distance = 879.9999999<BR>\n" );
document.write( "distance = <font color=red>880 feet</font> is the final answer.\r<BR>\n" );
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document.write( "Another approach:\r<BR>\n" );
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document.write( "1 hour = 60 min<BR>\n" );
document.write( "1 min = 60 sec<BR>\n" );
document.write( "Those two equations tell us that<BR>\n" );
document.write( "1 hour = 60*60 = 3600 sec\r<BR>\n" );
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document.write( "Meaning that 1 second is 1/3600 of an hour.<BR>\n" );
document.write( "30 seconds is 30*(1/3600) = 30/3600 = 1/120 of an hour.\r<BR>\n" );
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document.write( "distance = rate*time<BR>\n" );
document.write( "distance = (20 mph)*(1/120 of an hour)<BR>\n" );
document.write( "distance = 20/120 miles<BR>\n" );
document.write( "distance = 1/6 of a mile.\r<BR>\n" );
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document.write( "Then,<BR>\n" );
document.write( "1 mile = 5280 ft<BR>\n" );
document.write( "(1/6)*1 mile = (1/6)*5280 ft<BR>\n" );
document.write( "1/6 of a mile = <font color=red>880 feet</font>\r<BR>\n" );
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document.write( "Answer: <font color=red>880 feet</font><BR>\n" );
document.write( "</font> </SPAN>\n" );
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