SOLUTION: Jeff can weed the garden in 4 h. His wife Brenda takes the same amount of time. After they worked together for 1 h, their son Rory helped them finish in 1/2 h. How long would it

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jeff can weed the garden in 4 h. His wife Brenda takes the same amount of time. After they worked together for 1 h, their son Rory helped them finish in 1/2 h. How long would it      Log On


   

Question 271110: Jeff can weed the garden in 4 h. His wife Brenda takes the same amount of time. After they worked together for 1 h, their son Rory helped them finish in 1/2 h. How long would it have taken Rory by himself? this is another problem that I'm having difficulty with. I know the answer is 2 hrs, but I'm not sure how to set up the equation.
Found 2 solutions by scott8148, amalm06:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
(1.5 / J) + (1.5 / B) + (.5 / R) = 1

.375 + .375 + (.5 / R) = 1

.5 / R = .25

2 = R

Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
(1/4 + 1/4)(1) + (1/4 + 1/4 + 1/x)(0.5)=1
1/2 + [1/2 + 1/x](0.5)=1
[1/2 + 1/x](0.5)=1/2
1/2 + (1/x)=1
1/x = 1/2
x=2 hrs