SOLUTION: John and Karen went to a family reunion. Karen left on Saturday morning traveling 22 miles/hour. John left on Saturday afternoon traveling 55 miles/hour. John traveled 3 hours l

Question 340250: John and Karen went to a family reunion. Karen left on Saturday morning traveling 22 miles/hour. John left on Saturday afternoon traveling 55 miles/hour. John traveled 3 hours less than karen. How far did they travel?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
John and Karen went to a family reunion. Karen left on Saturday morning traveling 22 miles/hour. John left on Saturday afternoon traveling 55 miles/hour. John traveled 3 hours less than karen. How far did they travel?
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Karen DATA:
rate = 22 mph ; distance = x miles ; time = d/r = x/22 hrs.
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John DATA:
rate = 55 mph ; distance = x miles ; time = x/55 hrs
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Equation:
Karen time - John time = 3 hrs
x/22 - x/55 = 3 hrs
---
55x - 22x = 3*22*55
33x = 3*22*55
x = 2*55
x = 110 miles (distance they traveled)
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Cheers,
Stan H.

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