document.write( "Question 1195351: Bella and Regina both leave the mall at the same time, but in opposite directions. If Regina travels 5 mph faster than Bella and after 3 hours they are 87 miles apart, how fast is each traveling?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #827818 by ikleyn(52776)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Bella and Regina both leave the mall at the same time, but in opposite directions.
\n" ); document.write( "If Regina travels 5 mph faster than Bella and after 3 hours they are 87 miles apart,
\n" ); document.write( "how fast is each traveling?
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let r be the slower rate;  then the faster rate is (r+5) mph.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total separating distance in 3 hours is  3r + 3*(r+5) miles,\r\n" );
document.write( "\r\n" );
document.write( "and it is equal to 87 miles.  So your base equation is\r\n" );
document.write( "\r\n" );
document.write( "    3r + 3*(r+5) = 87  miles.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find r\r\n" );
document.write( "\r\n" );
document.write( "    3r + 3r + 15 = 87\r\n" );
document.write( "\r\n" );
document.write( "         6r      = 87 - 15 = 72\r\n" );
document.write( "\r\n" );
document.write( "         r                 = 72/6 = 12 miles per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The Bella's rate is   12 mph.\r\n" );
document.write( "\r\n" );
document.write( "         The Regina rate is  12 + 5 = 17 mph.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  3*12 + 3*17 = 36 + 51 =  87  miles separating distance in 3 hours.   ! Correct !\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For simple Travel & Distance problems,  see introductory lessons \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in opposite directions \r
\n" ); document.write( "\n" ); document.write( "    - Travel and Distance problems for two bodies moving in the same direction (catching up)\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "They are written specially for you.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You will find the solutions of many similar problems there.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and learn once and for all from these lessons on how to solve simple Travel and Distance problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Become an expert in this area.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );