SOLUTION: Working together, Jo and Ralph can do the garden chores in 6 hours. It takes Jo twice as long as Ralph to do the work alone. How many hours does it take Jo working alone?
Answer
Algebra ->
Proportions
-> Lessons
-> SOLUTION: Working together, Jo and Ralph can do the garden chores in 6 hours. It takes Jo twice as long as Ralph to do the work alone. How many hours does it take Jo working alone?
Answer
Log On
Question 1036745: Working together, Jo and Ralph can do the garden chores in 6 hours. It takes Jo twice as long as Ralph to do the work alone. How many hours does it take Jo working alone?
Answer: 18 Hours (How?) Answer by ikleyn(52777) (Show Source):
You can put this solution on YOUR website! .
Working together, Jo and Ralph can do the garden chores in 6 hours. It takes Jo twice as long as Ralph to do the work alone.
How many hours does it take Jo working alone?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let J be Jo's rate of work.
Then Ralph's rate of work is twice of it, and is equal to 2J.
When they work together, their combined rate of work is the sum of individual rates, i.e. J + 2J = 3J.
We are given that 3J = .
Hence, J = .
It means that it takes 18 hours for Jo to complete the job working alone.
