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)\"\" \"About 
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We know that Speed equals distance over time\r
\n" ); document.write( "\n" ); document.write( "\"Speed=Distance%2FTime\"\r
\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( "\"J=S%2B15\"\r
\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( "\"J%2BS=Distance%2Ftime\" \r
\n" ); document.write( "\n" ); document.write( "We replace the known values for distance and speed:\r
\n" ); document.write( "\n" ); document.write( "\"J%2BS=315%2F3\" \r
\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( "\"%28S%2B15%29+%2B+S+=+105\"\r
\n" ); document.write( "\n" ); document.write( "\"2s+%2B+15=105\"\r
\n" ); document.write( "\n" ); document.write( "\"2s=105-15\"\r
\n" ); document.write( "\n" ); document.write( "\"2s=90\"\r
\n" ); document.write( "\n" ); document.write( "\"s=90%2F2\"\r
\n" ); document.write( "\n" ); document.write( "\"s=45\"\r
\n" ); document.write( "\n" ); document.write( "And we know that Jacks is 15 more
\n" ); document.write( "\"J=S%2B15\"
\n" ); document.write( "\"J=45%2B15\"
\n" ); document.write( "\"j=60\"\r
\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
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