SOLUTION: I forgot to bring my book home and only have the problem written down. Maragaret and Sylvia leave the house at the same time traveling in opposite directions. Margaret travels

Question 117199: I forgot to bring my book home and only have the problem written down.
Maragaret and Sylvia leave the house at the same time traveling in opposite directions. Margaret travels 30mph faster than sylvia. After 2 hours they are 200 miles apart. How fast is each woman traveling?
Found 2 solutions by checkley71, stanbon:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
2(30+X)+2X=200
60+2X+2X=200
4X=200-60
4X=140
X=140/4
X=35 MPH FOR SYLVIA.
35+30=65 MPH FOR MARGARET.
PROOF
2*65+2*35=200
130+70=200
200=200
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Margaret and Sylvia leave the house at the same time traveling in opposite directions. Margaret travels 30mph faster than sylvia. After 2 hours they are 200 miles apart. How fast is each woman traveling?
-------------------------------
Margaret DATA:
Distance = x miles ; Time = 2 hrs ; rate = d/t = x/2 mph
-
Sylvia DATA:
Distance = 200-x miles ; Time = 2 hrs ; Rate = d/t = (200-x)/2
----------------------------
EQUATION:
Margaret rate = Sylvia rate +30
x/2 = (200-x)/2 + 30
x = 200-x + 60
2x = 260
x = 130 miles
---------------------------
Margaret's rate = x/2 = 65 mph
===================================
Cheers,
Stan H.
RELATED QUESTIONS
i dont get how to do this at all. i learned once, but ive forgotten & i forgot to bring... (answered by stanbon)
w=2 y=6 x=5 I have two problems yx2 and (yx)2 are these both the same? and is the yx... (answered by Alan3354)
Hi. This is the problem I have: The length of a rectangle is 3 times its width. If its (answered by josgarithmetic)
you are going to visit your who live 500km away.as you drive in the freeway your speed is (answered by ankor@dixie-net.com)
Sylvia walked to Cathy's house at 2km/h, and then rode a bicycle back to her own house at (answered by ankor@dixie-net.com)
Sylvia walked to Cathy's house at 2km/h, and then rode a bicycle back to her own house at (answered by Fombitz)
Sylvia walked to Cathy's house at 2km/h, and then rode a bicycle back to her own house at (answered by ayalyaniv)
Sylvia walked to Cathy's house at 2km/h, and then rode a bicycle back to her own house at (answered by stanbon)
My daughter has just started pre-algebra has homework and did not get to bring home book... (answered by MelanieBCC)