SOLUTION: Karen left her house heading east, and her sister left two hours later heading west at a rate 5 mph faster than Karen. Six hours after Karen left, she and her sister were 600 miles

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Question 333635: Karen left her house heading east, and her sister left two hours later heading west at a rate 5 mph faster than Karen. Six hours after Karen left, she and her sister were 600 miles apart. How fast was Karen moving?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Karen left her house heading east,
her sister left two hours later heading west at a rate 5 mph faster than Karen.
Six hours after Karen left, she and her sister were 600 miles apart. How fast was Karen moving?
Karen speed be x mph
Karen has traveled 6x miles (in 6 hours)
..
sister x+5 mph .
Sister has traveled 4(x+5) miles. left 2 hours later.
..
4(x+5)+6x =600
4x+20+6x=600
10x+20=600
10x=600-20
10x=580
x= 58 mph speed of Karen