SOLUTION: 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 apa

Algebra ->  Probability-and-statistics -> SOLUTION: 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 apa      Log On


   

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?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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?
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Karen DATA;
Time = 6 hrs ; rate = r mph ; Distance = 6r miles
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Sister DATA:
Time = 4 hrs ; rate = r+5 mph ; Distance = 4(r+5) = 4r+20 miles
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EQUATION:
distance + distance = 600 miles
6r + 4r+20 = 600
10r = 580
r = 58 mph (Karen's rate)
r+5 = 63 mph (sister's rate)
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Cheers,
Stan H.