SOLUTION: A mason and his assistant work on a fireplace for 6 hours together. Then the mason leaves. The assistant works 12 more hours to finish the fireplace. The mason can complete a

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A mason and his assistant work on a fireplace for 6 hours together. Then the mason leaves. The assistant works 12 more hours to finish the fireplace. The mason can complete a       Log On


   



Question 1030613: A mason and his assistant work on a fireplace for 6 hours together. Then the mason leaves. The assistant works 12 more hours to finish the fireplace.
The mason can complete a fireplace by himself in 15 hours.
How long would it take the assistant to build the fireplace by himself?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
What each does in 1 hour
Mason (1/15)
Assistant (1/x)
Together [(6/15)+(6/x)]+(12/x)=1 complete fireplace
multiply all by 15x to clear fractions
6x+90+180=15x
6x+270=15x
9x=270
x=30 hours