SOLUTION: Brooke walks 2km/hr slower than her older sister Adrianna. If Brooke can walk 12km in the same amount of time that Adrianna can walk 18 km, find their speeds.

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Question 326609: Brooke walks 2km/hr slower than her older sister Adrianna. If Brooke can walk 12km in the same amount of time that Adrianna can walk 18 km, find their speeds.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A (Adrianna) and B (Brooke) be their walking rates.
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Rate*Time=Distance
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B=A-2
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B%2AT=12
T=12%2FB
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A%2AT=18
T=18%2FA
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12%2FB=18%2FA
18B=12A
B=%282%2F3%29A
Substitute into the first equation,
%282%2F3%29A=A-2
2A=3A-6
highlight%28A=6%29kph
Then,
B=%282%2F3%29%286%29
highlight%28B=4%29kph