document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87389>Question 87389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	Thomas left Miami and drove at a speed of 41 mph. Katherine left 1 hour and 28 minutes later and drove at a speed of 57 mph. How long will it take Katherine to catch up with Thomas?\r<BR>\n" );
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document.write( "2.	EdHelper Airlines flight H3488 from Boston to Dallas averaged a speed of 90 mph more than the return trip back to Boston. The return trip took 1 109/308 times longer than the trip going to Dallas. The distance between Boston and Dallas is one thousand, seven hundred fifty miles. What was the average speed from Dallas to Boston? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63376 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=63376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Thomas left Miami and drove at a speed of 41 mph. Katherine left 1 hour and 28 minutes later and drove at a speed of 57 mph. How long will it take Katherine to catch up with Thomas?<BR>\n" );
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document.write( "Let t = amt of time for K to catch up with T:<BR>\n" );
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document.write( "Convert 28 min to hrs: 28/60 = .467, making K left 1.467 hrs after T<BR>\n" );
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document.write( "When K catches up we know they will have traveled the same distance, write a simple equation from this fact: Dist = Speed * time<BR>\n" );
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document.write( "K's dist = T's dist<BR>\n" );
document.write( "57t = 41(t+1.467)<BR>\n" );
document.write( "57t = 41t + 60.147<BR>\n" );
document.write( "57t - 41t = 60.147<BR>\n" );
document.write( "16t = 60.147<BR>\n" );
document.write( "t = 60.147/16<BR>\n" );
document.write( "t = 3.76 hrs which is 3 hrs 45.6 min, when K catches up with T<BR>\n" );
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document.write( "Check solutions by finding the distance both K & T have traveled<BR>\n" );
document.write( "K: 57 * 3.76 = 214.3 mi<BR>\n" );
document.write( "T: 41 * (3.76 + 1.467) = 214.3 mi also<BR>\n" );
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document.write( "2. EdHelper Airlines flight H3488 from Boston to Dallas averaged a speed of 90 mph more than the return trip back to Boston. The return trip took 1 109/308 times longer than the trip going to Dallas. The distance between Boston and Dallas is one thousand, seven hundred fifty miles. What was the average speed from Dallas to Boston?<BR>\n" );
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document.write( "Convert 1 109/308 to a decimal: 417/308 = 1.3539<BR>\n" );
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document.write( "Let s = Average speed from Dallas to Boston<BR>\n" );
document.write( "Then:<BR>\n" );
document.write( "(s+90) = Average speed from Boston to Dallas<BR>\n" );
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document.write( "Write a time equation Time = Dist/speed:<BR>\n" );
document.write( "1.3539*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1750%2F%28%28s%2B90%29%29 ALIGN=MIDDLE  ALT=\"1750%2F%28%28s%2B90%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1750%2Fs ALIGN=MIDDLE  ALT=\"1750%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2369.32%2F%28%28s%2B90%29%29 ALIGN=MIDDLE  ALT=\"2369.32%2F%28%28s%2B90%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1750%2Fs ALIGN=MIDDLE  ALT=\"1750%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply:<BR>\n" );
document.write( "2369.32s = 1750(s+90)<BR>\n" );
document.write( "2369.32s - 1750x + 157500<BR>\n" );
document.write( "619.32s = 157500<BR>\n" );
document.write( "s = 157500/619.32<BR>\n" );
document.write( "s = 254.3 mph Dallas to Boston<BR>\n" );
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document.write( "Check solution using speed and time<BR>\n" );
document.write( "254.3 + 90 = 344.3 mph Boston to Dallas<BR>\n" );
document.write( " 1750/254.3 = 6.88 hrs<BR>\n" );
document.write( " 1750/344.3 = 5.08 hr<BR>\n" );
document.write( " 6.88/5.08 = 1.354 ~ 1 & 109/308\r<BR>\n" );
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document.write( " </SPAN>\n" );
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