SOLUTION: At the beginning of a walk, Roberto and Juanita are 4.4 miles apart. If they leave at the Same time and walk in the Same direction Roberto overtakes Juanita in 11hrs. If they walk

Question 710809: At the beginning of a walk, Roberto and Juanita are 4.4 miles apart. If they leave at the Same time and walk in the Same direction Roberto overtakes Juanita in 11hrs. If they walk towards each other, they meet in 1he. What are their speeds? I would like help with what formulation to use so I can plug in my numbers....please
ThAnk you
Laura
thewrighttoad08@gmail.com
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In order for Roberto to overtake Juanita, he has to be the faster walker.
Walking in the same direction:
Let = the distance Roberto travels until he catches Juanita
= the distance Juanita travels when Roberto catches her
Let = Roberto's speed
Let = Juanita's speed
------------------------
Roberto's equation:
(1)
Juanita's equation:
(2)
------------------
Walking towards each other:
They approach each other at the sum of their speeds, and
together, they cover mi

(3)
-----------------
Substitute (1) into (2)
(2)
(2)
(2)
---------------
Add equations (2) and (3)
(3)
(2)

and, since
(3)
(3)
(3)
Roberto's speed is 2.4 mi/hr
Juanita's speed is 2 mi/hr

RELATED QUESTIONS
at the beginning of a walk roberto and juanita are 7.7 miles apart. if they leave at the... (answered by robertb)

At the beginning of a walk, Roberto and Juanita are 2.2 miles apart. If they leave at the (answered by josmiceli)

Please help me solve this. I have no idea! At the beginning of a walk, Roberto and... (answered by ankor@dixie-net.com)

At the beginning of a walk, Roberto and Juanita are 2.2 miles apart. If they leave at the (answered by richwmiller,stanbon)

At the beginning of a walk Roberto and Juanita are 3.3 miles apart if they leave at the... (answered by ankor@dixie-net.com)

At the beginning of a walk, Roberto and Juanita are 5.5 miles apart. If they leave at the (answered by ankor@dixie-net.com)

At the beginning of a walk, Roberto and Juanita are 6.6 miles apart. If they leave at the (answered by stanbon)

At the beginning of a walk Roberto and Juanita are 7.7 miles apart. If they leave at the (answered by mananth)

AT the beginning of a walk, Roberto and Juanita are 9.9 miles apart. If they leave at the (answered by ankor@dixie-net.com)

At the beginning of a walk, Roberto and Juanita are 4.4 miles apart. if they leave at... (answered by mananth)