SOLUTION: At beginning of a wlak 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 11 hours. If they walk t

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Question 396300: At beginning of a wlak 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 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):
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At 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 11 hours.
If they walk towards each other they meet in 1 hour, what are their speeds?
:
Let r = R's walking speed
Let j = J's walking speed
:
Write two distance equation; dist = time * speed
Toward: 1r + 1j = 4.4
Same dir: 11r - 11j = 4.4
:
multiply the 1st equation by 11, add to the 2nd equation
11r + 11j = 48.4
11r - 11j = 4.4
--------------------addition eliminates j, find r
22r = 52.8
r =
r = 2.4 mph is R's walking speed
Find J
2.4 + j = 4.4
j = 4.4 - 2.4
j = 2 mph is J's walking speed
:
Check solution in the 2nd equation
11(2.4) - 11(2) = 4.4
26.4 - 22 = 4.4