Question 182118
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 = {{{3.6/2}}}
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