document.write( "Question 175275: shelly and jack left from the same place at the same time and drove in opposite directions along a straight road. Jack traveled 15 miles per hour faster than shelly. After 3 hours, they were 315 miles apart. Find the rate at which each traveled. \n" ); document.write( "
Algebra.Com's Answer #130369 by agosset(4)![]() ![]() ![]() You can put this solution on YOUR website! We know that Speed equals distance over time\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this problem we are dealing with two speeds, Shelly's and Jack's \n" ); document.write( "And we know that Jack's speed is 15 miles faster:\r \n" ); document.write( "\n" ); document.write( "Jack's (J) = Shelly's (S) + 15 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then we know they have covered 315 miles (distance) after 3 hours (time)using their combined speeds. \n" ); document.write( "Since they are traveling opposite directions we need to add their speeds:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We replace the known values for distance and speed:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Remember that J=S+15 so we replace J with the expression s+15\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And we know that Jacks is 15 more \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jack's speed= 60 Miles per hour\r \n" ); document.write( "\n" ); document.write( "Rate= Speed \n" ); document.write( "Jacks= 60 Miles per hour \n" ); document.write( "Shelly's = 45 Miles per hour \n" ); document.write( " \n" ); document.write( " |