document.write( "Question 1210215: Hi
\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.
\n" ); document.write( "How long would Michelle take to catch up with Tim .
\n" ); document.write( "How far away was Tim from B when Michelle completed her journey \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #851781 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Hi\r\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.\r\n" );
document.write( "48min later Michelle set off for B at a speed of 95km per hour. How long would Michelle take to catch up with Tim.\r\n" );
document.write( "How far away was Tim from B when Michelle completed her journey \r\n" );
document.write( "\r\n" );
document.write( "Let time Michelle takes to catch up to Tim, be T\r\n" );
document.write( "Michelle's and Tim's speeds are 95 k/h and 75 k/h, respectively\r\n" );
document.write( "So, distance covered by Michelle when she gets to the catch-up point is 95T\r\n" );
document.write( "Tim left A 48 minutes, or hr, or hr before Michelle\r\n" );
document.write( "Therefore, distance covered by Tim when he gets to the catch-up point is  = 75T + 60\r\n" );
document.write( "Since they covered the same distance when they met, we equate their distances to get: 95T = 75T + 60\r\n" );
document.write( "                                         95T - 75T = 60\r\n" );
document.write( "                                               20T = 60\r\n" );
document.write( "Time Michelle took to catch up to Tim, or \r\n" );
document.write( "\r\n" );
document.write( "In 3 hours, Michelle caught up with Tim. In addition, Michelle completed the 285-km trip in  = 3 hours. So,\r\n" );
document.write( "Michelle caught up with Tim at the end-point (B). So, both reached B, the end point, at the same time, with Michelle\r\n" );
document.write( "taking 3 hours, and Tim:  hours, thereby making Tim 0 km from B when Michelle completed the 285-km trek, from A to B.

\n" ); document.write( "

\n" );