document.write( "Question 123510: Karen left her house heading east and her sister left two hours later heading west at a rate 5 mph faster than Karen. 6 hours after Karen left she and her sister were 600 miles apart. How fast was Karen moving? \n" ); document.write( "
Algebra.Com's Answer #91003 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Karen left her house heading east and \n" ); document.write( "her sister left two hours later heading west at a rate 5 mph faster than Karen. \n" ); document.write( "6 hours after Karen left she and her sister were 600 miles apart. \n" ); document.write( "How fast was Karen moving? \n" ); document.write( "--------------------- \n" ); document.write( "Karen DATA; \n" ); document.write( "Time = 6 hrs ; rate = r mph ; Distance = 6r miles \n" ); document.write( "------------------ \n" ); document.write( "Sister DATA: \n" ); document.write( "Time = 4 hrs ; rate = r+5 mph ; Distance = 4(r+5) = 4r+20 miles \n" ); document.write( "------------------- \n" ); document.write( "EQUATION: \n" ); document.write( "distance + distance = 600 miles \n" ); document.write( "6r + 4r+20 = 600 \n" ); document.write( "10r = 580 \n" ); document.write( "r = 58 mph (Karen's rate) \n" ); document.write( "r+5 = 63 mph (sister's rate) \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |