SOLUTION: Bob and Joan working together can weed a garden in 6 hours. Working alone, Joan takes 3x as long as Bob. How long does it take Bob to weed the garden alone? (1/x) + (1/3x) + (

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Bob and Joan working together can weed a garden in 6 hours. Working alone, Joan takes 3x as long as Bob. How long does it take Bob to weed the garden alone? (1/x) + (1/3x) + (      Log On


   

Question 1027348: Bob and Joan working together can weed a garden in 6 hours. Working alone, Joan takes 3x as long as Bob. How long does it take Bob to weed the garden alone?
(1/x) + (1/3x) + (6/1) 3x
3hrs?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Bob and Joan working together can weed a garden in 6 hours.
let bob take x hours to complete the job alone
Bob does 1/x of the job in 1 hour
Working alone, Joan takes 3x as long as Bob.
Joan does 1/3x of the job in 1 hour
1/x + 1/3x = 1/6
solve
4/3x = 1/6
4=x/2
x= 8
Bob takes 8 hours to do the job alone