SOLUTION: Beth likes chocolate and goes to Rick and Morty's Chocolate Emporium every day. She walks quickly from her house to the shop so she is sure she gets her favorite chocolates, then

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Beth likes chocolate and goes to Rick and Morty's Chocolate Emporium every day. She walks quickly from her house to the shop so she is sure she gets her favorite chocolates, then       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1103345: Beth likes chocolate and goes to Rick and Morty's Chocolate Emporium every day. She walks quickly from her house to the shop so she is sure she gets her favorite chocolates, then walks 2 mph slower back home, savoring the candies and fresh air. Beth's house is 2 miles from the store and her entire walk takes 2 hours and 40 minutes. How fast does Beth walk on her way home?
Found 2 solutions by josgarithmetic, TeachMath:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The distance to the emporium is the same as from it to back home.



r, speed walking home
k=2, difference in speed to home versus to emporium
d=2
T=2&2/3, total time going plus returning
Question asks for r. 
             SPEED       TIME       DISTANCE

GOING          r+2      d/(r+2)       2

RETURNING       r       d/r           2

TOTAL                   8%2F3

Solve for r:
highlight_green%282%2F%28r%2B2%29%2B2%2Fr=8%2F3%29
-
1%2F%28r%2B2%29%2B1%2Fr=4%2F3
3r%2B3r%2B6=4r%5E2%2B4r
4r%5E2-2r-6=0
highlight_green%282r%5E2-r-3=0%29
%282r-3%29%28r%2B1%29=0
2r-3=0
highlight%28r=1%261%2F2%29

Answer by TeachMath(96) About Me  (Show Source):
You can put this solution on YOUR website!
this dudette is WRONG! that not the answer. she not helpin