document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=298582>Question 298582</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train leaves Watsonville at noon traveling north at 44 mph. One hour later, another train, going 52 mph, travels north on a parallel track. How many hours will the second train travel before it overtakes the first train? Show your work. PLEASE EXP[LAIN IT STEP BY STEP </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #214797 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=214797\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train leaves Watsonville at noon traveling north at 44 mph.<BR>\n" );
document.write( " One hour later, another train, going 52 mph, travels north on a parallel track.<BR>\n" );
document.write( " How many hours will the second train travel before it overtakes the first train?<BR>\n" );
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document.write( "Let t = travel time of the 2nd train<BR>\n" );
document.write( "The 1st train left 1 hr earlier, therefore<BR>\n" );
document.write( "(t+1) = travel time of the 1st train<BR>\n" );
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document.write( "When the 2nd train overtakes the 1st, they will have traveled the same distance<BR>\n" );
document.write( "Write a distance equation from this fact; Dist = speed * time<BR>\n" );
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document.write( "2nd train dist = 1st train dist <BR>\n" );
document.write( "52t = 44(t+1)<BR>\n" );
document.write( "52t = 44t + 44; multiplied whats inside the brackets<BR>\n" );
document.write( "52t - 44t - 44; subtracted 44t from both sides<BR>\n" );
document.write( "8t = 44<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=44%2F8 ALIGN=MIDDLE  ALT=\"44%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >; divide both sides by 8<BR>\n" );
document.write( "t = 5.5 hrs travel time of the 2nd train<BR>\n" );
document.write( "and<BR>\n" );
document.write( "5.5 + 1 = 6.5 hr travel time of the 1st train<BR>\n" );
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document.write( "Check this by finding the distance of each train<BR>\n" );
document.write( "52 * 5.5 = 286 mi, 2nd train dist<BR>\n" );
document.write( "44 * 6.5 = 286 mi also, confirms our solution<BR>\n" );
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document.write( "Was this step-by-step enough for you to clearly understand this?<BR>\n" );
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