SOLUTION: Please help me solve this. I have no idea! 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, Rob

Click here to see ALL problems on Travel Word Problems

Question 182118: Please help me solve this. I have no idea!
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 Roberto and Juanita's speeds?
Thank you so much!
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 Roberto and Juanita's speeds?
:
Let x = R's speed
Let y = J's speed
:
when they walk the same direction the speeds are subtracted
when they walk toward each other the speeds are added
:
write a distance equation for each
11(x - y) = 3.3
and
1(x + y) = 3.3
:
Simplify the 1st equation, divide by 11, then add to the 2nd equation;
x - y = .3
x + y = 3.3
-------------adding eliminates y
2x = 3.6
x =
x = 1.8 mph is R's speed
:
find y using x + y = 3.3
1.8 + y = 3.3
y = 3.3 - 1.8
y = 1.5 mph is J's speed
:
:
Check solution in 1st original equation
11(1.8-1.5) =
11 * .3 = 3.3; confirms our solution