document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210215>Question 1210215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "Tim and Michelle drove from  A to B which was 285km away. Tim set off for  B at an average speed of 75km per hour. 48min later Michelle set off for B at a speed of 95km per hour.<BR>\n" );
document.write( "How long would Michelle take to catch up with Tim . <BR>\n" );
document.write( "How far away was Tim from B when Michelle completed her journey \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #851647 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=851647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's break down this problem step-by-step:\r<BR>\n" );
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document.write( "**Part 1: How long would Michelle take to catch up with Tim?**\r<BR>\n" );
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document.write( "1. **Calculate the time Tim traveled before Michelle started:**<BR>\n" );
document.write( "   - Michelle started 48 minutes later than Tim.<BR>\n" );
document.write( "   - Convert 48 minutes to hours: 48 minutes / 60 minutes/hour = 0.8 hours.\r<BR>\n" );
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document.write( "2. **Calculate the distance Tim traveled before Michelle started:**<BR>\n" );
document.write( "   - Tim's speed = 75 km/hour<BR>\n" );
document.write( "   - Time Tim traveled = 0.8 hours<BR>\n" );
document.write( "   - Distance Tim traveled = speed × time = 75 km/hour × 0.8 hours = 60 km.\r<BR>\n" );
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document.write( "3. **Determine the relative speed between Michelle and Tim:**<BR>\n" );
document.write( "   - Michelle's speed = 95 km/hour<BR>\n" );
document.write( "   - Tim's speed = 75 km/hour<BR>\n" );
document.write( "   - Relative speed = Michelle's speed - Tim's speed = 95 km/hour - 75 km/hour = 20 km/hour.<BR>\n" );
document.write( "   - This is the rate at which Michelle is closing the distance between herself and Tim.\r<BR>\n" );
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document.write( "4. **Calculate the time Michelle takes to catch up:**<BR>\n" );
document.write( "   - Distance Tim was ahead when Michelle started = 60 km<BR>\n" );
document.write( "   - Relative speed = 20 km/hour<BR>\n" );
document.write( "   - Time to catch up = Distance / Relative speed = 60 km / 20 km/hour = 3 hours.\r<BR>\n" );
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document.write( "**So, Michelle would take 3 hours to catch up with Tim.**\r<BR>\n" );
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document.write( "**Part 2: How far away was Tim from B when Michelle completed her journey?**\r<BR>\n" );
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document.write( "1. **Calculate the total time Michelle took to reach B:**<BR>\n" );
document.write( "   - Distance from A to B = 285 km<BR>\n" );
document.write( "   - Michelle's speed = 95 km/hour<BR>\n" );
document.write( "   - Time Michelle took = Distance / Speed = 285 km / 95 km/hour = 3 hours.\r<BR>\n" );
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document.write( "2. **Calculate the total time Tim traveled when Michelle completed her journey:**<BR>\n" );
document.write( "   - Tim started 0.8 hours before Michelle.<BR>\n" );
document.write( "   - Michelle's journey took 3 hours.<BR>\n" );
document.write( "   - Total time Tim traveled = 0.8 hours + 3 hours = 3.8 hours.\r<BR>\n" );
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document.write( "3. **Calculate the distance Tim traveled in 3.8 hours:**<BR>\n" );
document.write( "   - Tim's speed = 75 km/hour<BR>\n" );
document.write( "   - Total time Tim traveled = 3.8 hours<BR>\n" );
document.write( "   - Distance Tim traveled = speed × time = 75 km/hour × 3.8 hours = 285 km.\r<BR>\n" );
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document.write( "4. **Calculate the distance Tim was from B when Michelle completed her journey:**<BR>\n" );
document.write( "   - Distance from A to B = 285 km<BR>\n" );
document.write( "   - Distance Tim traveled = 285 km<BR>\n" );
document.write( "   - Distance Tim was from B = Total distance - Distance Tim traveled = 285 km - 285 km = 0 km.\r<BR>\n" );
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document.write( "**So, Tim was 0 km away from B (he had just arrived) when Michelle completed her journey.** </SPAN>\n" );
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