document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=695260>Question 695260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A battleship started at 7:00 AM on a 500 mile voyage on a special mission but was brought to a full stop an hour after starting for military reasons, delaying it for a full hour, after which it was ordered to proceed at a reduced velocity equivalent to 75% of its original speed. This ship arrived at its destination 3 ¾ hr. after the scheduled time. Determine the original speed of the battleship. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428490 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=428490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A battleship started at 7:00 AM on a 500 mile voyage on a special mission<BR>\n" );
document.write( " but was brought to a full stop an hour after starting for military reasons,<BR>\n" );
document.write( " delaying it for a full hour, after which it was ordered to proceed at a reduced<BR>\n" );
document.write( " velocity equivalent to 75% of its original speed.<BR>\n" );
document.write( " This ship arrived at its destination 3 ¾ hr. after the scheduled time.<BR>\n" );
document.write( " Determine the original speed of the battleship.<BR>\n" );
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document.write( "Let s = original speed of the ship<BR>\n" );
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document.write( "change 3<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to 3.75 hrs<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fs ALIGN=MIDDLE  ALT=\"500%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time of voyage with no stops or change in speed<BR>\n" );
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document.write( "Write a distance equation of the actual voyage<BR>\n" );
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document.write( "dist at normal speed + distance at reduced speed = 500 mi<BR>\n" );
document.write( "1s + .75s(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fs ALIGN=MIDDLE  ALT=\"500%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 1 + 3.75) = 500<BR>\n" );
document.write( "1s + .75s(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fs ALIGN=MIDDLE  ALT=\"500%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2.75) = 500<BR>\n" );
document.write( "1s + (.75s(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500%2Fs ALIGN=MIDDLE  ALT=\"500%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + .75s(2.75) = 500<BR>\n" );
document.write( "1s + 375 + 2.0625s = 500<BR>\n" );
document.write( "3.0625s = 500 - 375<BR>\n" );
document.write( "3.0625s = 125<BR>\n" );
document.write( "s = 125/3.0625<BR>\n" );
document.write( "s = 40.8 mph (or knots if nautical miles are used)<BR>\n" );
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document.write( "See if that checks out<BR>\n" );
document.write( "normal time: 500/40.8 = 12.25 hrs<BR>\n" );
document.write( "Additional time required 3.75 hrs<BR>\n" );
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document.write( "Actual time of the voyage: 16 hrs<BR>\n" );
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document.write( "(500-40.8) = 459.2 mi at 3/4 speed which is .75(40.8) = 30.6 knots<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=459.2%2F30.6 ALIGN=MIDDLE  ALT=\"459.2%2F30.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 15 hr + 1 hr at normal speed = 16 hrs, the actual time <BR>\n" );
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