Question 1157868

Pam and Matt, working together, can weed the garden in 8 hours. Working alone, Matt takes twice as long as Pam. How long does it take Pam to weed the garden alone?

let Pam take x hours to weed the garden
Pam does 1/x of the job in 1 hour

Matt takes 2x hours
Matt does 1/2x of the job in 1 hour

Together they take 8 hours
Together they do 1/8 of the job in 1 hour

1/x + 1/2x = 1/8

(2+1)/2x =1/8

3/2x = 1/8
2x=24
x= 12 
Pam takes 12 hours