document.write( "Question 142157: At 10 a.m. Eve started out at 55 kilometers per hour to catch Adrienne, who had a one hour head start. If Eve was still 100 kilometers behind at 6 p.m. how fast was Adrienne driving? \n" ); document.write( "
Algebra.Com's Answer #103511 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
At 10 a.m. Eve started out at 55 kilometers per hour to catch Adrienne, who had a one hour head start. If Eve was still 100 kilometers behind at 6 p.m. how fast was Adrienne driving?
\n" ); document.write( ":
\n" ); document.write( "Let s = A's speed
\n" ); document.write( "9 hrs = A's travel time, when they are 100 km apart (started at 9 am)
\n" ); document.write( "then
\n" ); document.write( "8 hrs = E's travel time, when they are 100 km apart (started at 10am)
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation; dist = speed * time
\n" ); document.write( "9s - 8(55) = 100
\n" ); document.write( "9s - 440 = 100
\n" ); document.write( "9s = 100 + 440
\n" ); document.write( "s = \"540%2F9\"
\n" ); document.write( "s = 60 km/hr is A's speed. obviously, she will not be caught by E
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "check solution by finding the distances:
\n" ); document.write( "9 * 60 = 540; A's dist
\n" ); document.write( "8 * 55 = 440; E's dist
\n" ); document.write( "---------------
\n" ); document.write( "differ = 100 km\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );