SOLUTION: At the beginning of a walk, Roberto and Juanita are 7.7 miles apart. If they leave at the same time and walk in the same directions. Roberto over take jaunita in 11 hours. If they

Question 328832: At the beginning of a walk, Roberto and Juanita are 7.7 miles apart. If they leave at the same time and walk in the same directions. Roberto over take jaunita in 11 hours. If they walk towards each other they meet in one 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 7.7 miles apart.
If they leave at the same time and walk in the same directions.
Roberto over take jaunita in 11 hours.
If they walk towards each other they meet in one hour.
What are their speeds?
:
let r = R's speed
let j = J's speed
:
Write two distance equations, d = time * speed
:
Walking the same direction
11(r-j) = 7.7
divide both sides by 11
r - j = .7
:
Walking toward each other
1(r+j) = 7.7
r + j = 7.7
:
Add the two equations
r - j = .7
r + j = 7.7
---------------additional eliminates j, find r
2r = 8.4
r =
r = 4.2 mph is R's walking speed
:
Find J's speed using eq: r + j = 7.7
4.2 + j = 7.7
j = 7.7 - 4.2
j = 3.5 mph is J's walking speed
:
:
Check solutions in the "toward" equation
1 * (3.5 + 4.2) = 7.7
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