document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204527>Question 204527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Firneed help urgent!\r<BR>\n" );
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document.write( "1. Two planes leave NAIA at 4 p.m., one traveling east at 850 kph and the other, west at 750 kph. At what time will they be 4000 km apart?\r<BR>\n" );
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document.write( "2. An airplane which travels 180 miles per hour leaves the airport 8.5 hours after a ship has sailed. If it overtakes the ship in one hour and 30 minutes, find the rate of the ship.\r<BR>\n" );
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document.write( "3. Rolly and Romy are 15 km apart and are walking towards each other. If rolly is walking at rate of kph and romy at a rate of 3 kph, in how many hours will they meet?\r<BR>\n" );
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document.write( "4. Albert sets out on a hike. After walking for a while at 6 kph, he discovers that he has forgotten his lunch. A passing bus takes him back home at 30 kph. How far did he walk if he was gone for one hour? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155395 by </B><A HREF=/tutors/aboutme.mpl?userid=Targetweek><B>Targetweek(62)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Targetweek><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=155395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.  First add the two speeds together<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=850%2B750+=+1600 ALIGN=MIDDLE  ALT=\"850%2B750+=+1600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "- so a combined speed of 1600kph<BR>\n" );
document.write( "- Now find how long it will take to travel 4000km<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284000km%29%2F1%29%2A+%28%281h%29%2F%281600km%29%29+=+2.5h ALIGN=MIDDLE  ALT=\"%28%284000km%29%2F1%29%2A+%28%281h%29%2F%281600km%29%29+=+2.5h\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "- And your answer is 2.5 hours<BR>\n" );
document.write( "---Check---<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=850%2A2.5%2B750%2A2.5+=+4000 ALIGN=MIDDLE  ALT=\"850%2A2.5%2B750%2A2.5+=+4000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2125%2B1875+=+4000 ALIGN=MIDDLE  ALT=\"2125%2B1875+=+4000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4000=4000 ALIGN=MIDDLE  ALT=\"4000=4000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Correct\r<BR>\n" );
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document.write( "2. To find the speed or rate of the ship we need two things, distance traveled and the time taken to travel that distance given by the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=D%2Ft ALIGN=MIDDLE  ALT=\"S=D%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where S=speed, D=distance, and t=time)<BR>\n" );
document.write( "a. First we'll find the distance traveled<BR>\n" );
document.write( "- the plane reached the ship in 1.5 hours at a speed of 180mph<BR>\n" );
document.write( "- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281.5h%29%2F1%29%2A%28%28180mi%29%2F%281h%29%29+=+270mi ALIGN=MIDDLE  ALT=\"%28%281.5h%29%2F1%29%2A%28%28180mi%29%2F%281h%29%29+=+270mi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "- So we know now the distance that the plane traveled which is also the distance the boat traveled which is 270mi<BR>\n" );
document.write( "b. Now we find the amount of time which the boat took to travel that far<BR>\n" );
document.write( "- The boat left 8.5 hours before the plane left and continued to travel for 1.5 hours while the plane was catching up<BR>\n" );
document.write( "- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8.5%2B1.5+=+10hours ALIGN=MIDDLE  ALT=\"8.5%2B1.5+=+10hours\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "- So the boat was traveling for 10 hours<BR>\n" );
document.write( "c. Now we simply plug the values into the formula<BR>\n" );
document.write( "- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=%28270mi%29%2F%2810h%29 ALIGN=MIDDLE  ALT=\"S=%28270mi%29%2F%2810h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=27mph ALIGN=MIDDLE  ALT=\"S=27mph\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "- So the boat traveled at a speed of 27mph<BR>\n" );
document.write( "---Check---<BR>\n" );
document.write( "-Plane-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28180mi%29%2F%281h%29%29%2A%281.5h%29+=+270mi ALIGN=MIDDLE  ALT=\"%28%28180mi%29%2F%281h%29%29%2A%281.5h%29+=+270mi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=270mi=270mi ALIGN=MIDDLE  ALT=\"270mi=270mi\"   DISABLED_style= \"max-width:90%; height:auto;\" > Correct<BR>\n" );
document.write( "-Ship-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2827mi%29%2F%281h%29%29%2A%2810h%29+=+270mi ALIGN=MIDDLE  ALT=\"%28%2827mi%29%2F%281h%29%29%2A%2810h%29+=+270mi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=270mi=270mi ALIGN=MIDDLE  ALT=\"270mi=270mi\"   DISABLED_style= \"max-width:90%; height:auto;\" > Correct<BR>\n" );
document.write( "-both traveled 270mi so Correct<BR>\n" );
document.write( "3. Don't know Rolly's speed...<BR>\n" );
document.write( "4. The bus can travel 5 times as fast as Albert can walk<BR>\n" );
document.write( "a. The total time traveled is 1 hour<BR>\n" );
document.write( "b. because the bus can travel five times as fast as Albert we can say...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=5A ALIGN=MIDDLE  ALT=\"B=5A\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where B=bus' speed and A=Albert's speed)<BR>\n" );
document.write( "c. Going off of that, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the time was spent by Albert walking and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the time was spent on the bus because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29%2A5+=+5%2F6 ALIGN=MIDDLE  ALT=\"%281%2F6%29%2A5+=+5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d. The total time traveled was 1 hour and based on the above statement then .8333 hours was spent walking and .1666 hours ws spent on the bus<BR>\n" );
document.write( "e. From here you can use the bus' speed or Albert's but i'll use both to check my answer<BR>\n" );
document.write( "- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.8333h%29%2A%28%286km%29%2F%281h%29%29+=+5km ALIGN=MIDDLE  ALT=\"%28.8333h%29%2A%28%286km%29%2F%281h%29%29+=+5km\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "- so Albert walked 5 km<BR>\n" );
document.write( "- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.1666h%29%2A%28%2830km%29%2A%281h%29%29+=+5km ALIGN=MIDDLE  ALT=\"%28.1666h%29%2A%28%2830km%29%2A%281h%29%29+=+5km\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "- so the bus also traveled 5 km<BR>\n" );
document.write( "f. So both traveled 5km which means that 5km is indeed correct<BR>\n" );
document.write( "g. Answer: Albert walked 5km \r<BR>\n" );
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document.write( " </SPAN>\n" );
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