SOLUTION: At the beginning of a walk Roberta and Juanita are 9.9 miles apart. If they leave at the same time, and walk in the same direction, Roberta over takes Juanita in 11 hours. If they

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Question 386416: At the beginning of a walk Roberta and Juanita are 9.9 miles apart. If they leave at the same time, and walk in the same direction, Roberta over takes Juanita in 11 hours. If they walk towards eachother, they meet in one hour. What are there speeds?
Answer by mananth(16946) About Me  (Show Source):
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At the beginning of a walk Roberta and Juanita are 9.9 miles apart. If they leave at the same time, and walk in the same direction, Roberta over takes Juanita in 11 hours. If they walk towards eachother, they meet in one hour. What are there speeds?
...
Roberta speed = r mph
Jaunita speed = j mph
walking same direction catch up speed = r-j mph
distance = 9.9 mph
..
t= d/r
9.9/r-j=11
9.9 = 11r-11j
/11
.9=r-j......................1
...
walking towards each other
speed = r+j mph
9.9/(r+j)=1
9.9= r+j....................2
...
add 1&2
2r=10.8
/2
%28highlight%28r=5.4%29%29 mph...Roberta
plug value of r in 2
9.9=5.4+j
j=9.9-5.4
%28highlight%28j=4.5%29%29 mph.. jaunita
...
m.ananth@hotmail.ca