SOLUTION: craig and jim,working together, can clean the house in 2 hours. Working alone, jim takes twice as long as craig. How long does it take craig to clean the house alone?

Question 728073: craig and jim,working together, can clean the house in 2 hours. Working alone, jim takes twice as long as craig. How long does it take craig to clean the house alone?
Found 2 solutions by nerdybill, stanbon:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
craig and jim,working together, can clean the house in 2 hours. Working alone, jim takes twice as long as craig. How long does it take craig to clean the house alone?
.
Let x = time (hours) it takes Craig to clean the house alone
then
2x = time (hours) it takes Jim to clean the house alone
.
The equation:
2(1/x + 1/(2x)) = 1
multiplying both sides by 2x:
2(2 + 1) = 2x
2(3) = 2x
6 = 2x
3 hours = x (Time it takes Craig)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
craig and jim,working together, can clean the house in 2 hours. Working alone, jim takes twice as long as craig. How long does it take craig to clean the house alone?
----
Let jim's rate be 1/x job/hr
Then craig's rate is 1/(2x) job/hr
---
Together rate = 1/2 job/hr
================================
Equation:
rate + rate = together rate
1/x + 1/(2x) = 1/2
----
2 + 1 = x
x = 3 hrs (time for Jim)
2x = 6 hrs (time for craig)
====================================
cheers,
Stan H.
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