SOLUTION: Bob can type 2 letters in 4 hours while Bill can do it in 6. How many hours would it take them, working together, to type six letters?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Bob can type 2 letters in 4 hours while Bill can do it in 6. How many hours would it take them, working together, to type six letters?      Log On


   

Question 1033381: Bob can type 2 letters in 4 hours while Bill can do it in 6. How many hours would it take them, working together, to type six letters?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Bob can type 2 letters in 4 hours while Bill can do it in 6. How many hours would it take them, working together, to type six letters?
----
Bob's rate:: 2/4 = 1/2 letter per hour
-------------------
Bill's rate: 2/6 = 1/3 letter per hour
------------------------
Together rate: 1/2 + 1/3 = 5/6 letter per hour
------
Ans: rate*hours = production
(5/6)x = 6
x = (6/5)6
x = 36/5 = 7 1/5 = 7hr 12 min
-------------------
Cheers,
Stan H.