SOLUTION: At the beginning of a walk, Roberto and Juanita are 2.2 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they w

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Question 286406: At the beginning of a walk, Roberto and Juanita are 2.2 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other, they meet in 1 hour. What are their speeds?
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website!
This belongs in word problems travel.
How could you find lessons and examples in the wrong category?
You did look for lessons and examples, didn't you?

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
At the beginning of a walk, Roberto and Juanita are 2.2 miles apart.
If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours.
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Juanita distance = "x" miles ; Roberto distance = "x+2.2" miles
Time for both is 11 hrs.
Juanita rate = x/11 mph ; Roberto rate = (x+2.2)/11 mph
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If they walk towards each other, they meet in 1 hour.
Juanita distance = y miles ; Roberto distance = 2.2-y miles
Time for both is 1 hr.
Juanita rate = y mph ; Roberto rate = (2.2-y) mph
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What are their speeds?
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Equations:
Juanita rate: x/11 = y
Roberto rate: (x+2.2)/11 = 2.2-y
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y = x/11
y = 2.2 - [(x+2.2)/11]
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x/1l = 2.2 -[(x+2.2)/11]
x = 24.2 - (x+2.2)
2x = 22
x = 11 miles
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Juanita rate = x/11 = 1 mph
Robert rate = 2.2-1 = 1.2 mph
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Cheers,
Stan H.