document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034493>Question 1034493</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve. Round to the nearest tenth if necessary\r<BR>\n" );
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document.write( "Mr. Johns drives a semitrailer. On one trip to a city 275 mi from his home, he traveled 30 min longer going than he did returning along the same route because of construction work. How long did it take him to make the trip each way if his rate going was 5 mi/hr slower than his rate returning? How fast did he travel each way? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649163 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=649163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mr. Johns drives a semitrailer. On one trip to a city 275 mi from his home, he traveled 30 min longer going than he did returning along the same route because of construction work. How long did it take him to make the trip each way if his rate going was 5 mi/hr slower than his rate returning? How fast did he travel each way? <BR>\n" );
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document.write( "dist = 275 ; time = t+(1/2) hr ; rate = 275/(2t+1)/2 = 550/(2t+1) mph<BR>\n" );
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document.write( "Return DATA:<BR>\n" );
document.write( "dist = 275 ; time = t hrs ; rate = 275/t mph<BR>\n" );
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document.write( "Equation::<BR>\n" );
document.write( "return rate - rate = 5 mph<BR>\n" );
document.write( "275/t - 550/(2t+1) = 5<BR>\n" );
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document.write( "275(2t+1) - 550t = 5t(2t+1)<BR>\n" );
document.write( "550t + 275 - 550t = 10t^2 + 5t<BR>\n" );
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document.write( "10t^2 + 5t - 275 = 0<BR>\n" );
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document.write( "2t^2 + t - 137.5 = 0<BR>\n" );
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document.write( "t = 8.045 hrs (time to return)<BR>\n" );
document.write( "t + 0.5 = 8.545 hrs (time to Go)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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