SOLUTION: At the beginning of a walk Roberto and Juanita are 3.3 miles apart if they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours if they walk

Question 307295: At the beginning of a walk Roberto and Juanita are 3.3 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
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 3.3 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
:
Let r = R's speed
Let j = J's speed
:
Walking same directions equation
Write a dist equation: dist = time * speed
11r = 11j + 3.3
simplify divide by 11
r = j + .3
:
Walking toward each other equation, another dist equation
r + j = 3.3
:
Replace r with (j+.3)
(j+.3) + j = 3.3
j + j = 3.3 - .3
2j = 3
j =
j = 1.5 mph is J's speed
then
r = 1.5 + .3
r = 1.8 mph is R's speed
:
:
Check solution in the 1st equation
11r = 11j + 3.3
11(1.8) = 11(.15) + 3.3
19.8 = 16.5 + 3.3
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