document.write( "Question 1043957: Amacha leaves her office at 8:00 am and drives to
\n" ); document.write( "a client's office at an average rate of 80kph.She
\n" ); document.write( "spends 2 hours in meeting,takes a 1 hour lunch
\n" ); document.write( "and returns to her own office,driving at an average
\n" ); document.write( "of 60kph.If she arrives back at her office at 3:00 pm,
\n" ); document.write( "how far apart are the two offices? \n" ); document.write( "

Algebra.Com's Answer #659184 by ikleyn(52777) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Amacha leaves her office at 8:00 am and drives to
\n" ); document.write( "a client's office at an average rate of 80kph. She
\n" ); document.write( "spends 2 hours in meeting,takes a 1 hour lunch
\n" ); document.write( "and returns to her own office,driving at an average
\n" ); document.write( "of 60kph.If she arrives back at her office at 3:00 pm,
\n" ); document.write( "how far apart are the two offices?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Amacha spent driving 7 hours - 3 hours = 4 hours.\r\n" );
document.write( "\r\n" );
document.write( "Led D be the distance between the offices.\r\n" );
document.write( "\r\n" );
document.write( "Then you have this equation for the unknown D\r\n" );
document.write( "\r\n" );
document.write( " = 4,   (1)\r\n" );
document.write( "\r\n" );
document.write( "where 4 = 4 hours is the total driving time.\r\n" );
document.write( "\r\n" );
document.write( "To solve (1), multiply both sides by the Least Common Denominator 240. You will have\r\n" );
document.write( "\r\n" );
document.write( "3D + 4D = 4*240,   or   7D = 960.\r\n" );
document.write( "\r\n" );
document.write( "Hence, D =  = 137.14 miles.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );