Question 437056: At the beginning of a walk, Roberto and Juanita are 9.9 miles apart.If they leave at the same time and walk in the same direction, Roberto overtakes Juanity in 11 hours. If they walk towards each other, they meet in 1 hour. What are their speeds?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! At the beginning of a walk, Roberto and Juanita are 9.9 miles apart.
If they leave at the same time and walk in the same direction, Roberto overtakes Juanity in 11 hours.
If they walk towards each other, they meet in 1 hour.
What are their speeds?
:
Let r = Robert's walking speed
Let j = Juanita's walking speed
:
Write distance equation for each scenario
:
11r - 11j = 9.9, (walking same direction)
and
1r + 1j = 9.9, (towards each other)
:
Multiply the above equation by 11, add to the 1st equation:
11r - 11j = 9.9
11r + 11j = 108.9
--------------------addition eliminates j, find r
22r = 118.8
r = 
r = 5.4 mph is Robert's speed
then
5.4 + j = 9.9
j = 9.9 - 5.4
j = 4.5 mph is Juanita's speed
:
:
check solution in the "same direction" equation
11(5.4) - 11(4.5) =
59.4 - 49.5 = 9.9, confirms our solutions
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