document.write( "Question 1141846: Two people leave from two towns that are 195 miles apart at the same time
\n" );
document.write( "and travel along the same road toward each other. The first person drives 5
\n" );
document.write( "miles slower than the second person. If they meet in 3 hours, at what rate
\n" );
document.write( "of speed did each travel? \n" );
document.write( "
Algebra.Com's Answer #762475 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "If x is the rate of the slower driver (in miles per hour), then the rate of the faster driver is (x+5) miles per hour.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then you have this \"total distance\" equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 3x + 3*(x+5) = 195 miles.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "This equation reflects the fact, that when they meet each other, the sum of partial distances is equal to the total distance.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the equation,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 3x + 3x + 15 = 195\r\n" ); document.write( "\r\n" ); document.write( " 6x = 195 - 15 \r\n" ); document.write( "\r\n" ); document.write( " 6x = 180 =====> x = 180/6 = 30.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The slower's driver rate is 30 mph; that of the faster driver is 30+5 = 35 mph.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 3*30 + 3*35 = 195 miles. ! 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( "See introductory lessons on Travel and Distance problems\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( " |