SOLUTION: it takes two people working together 12 minutes to file a report. one works six times faster than the other. how long will it take each person to file the report separately?

Question 834844: it takes two people working together 12 minutes to file a report. one works six times faster than the other. how long will it take each person to file the report separately?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
it takes two people working together 12 minutes to file a report. one works six times faster than the other. how long will it take each person to file the report separately?
------
Together rate:: 1/12 job/min
One worker rate: 1/x job/min
Other worker rate: 1/6x job/min
-------------
Equation:
rate + rate = together rate
------
1/x + 1/(6x) = 1/12
------------------------
Multiply thru by 12x to get::
12 + 2 = x
-------
x = 14 minutes (time for one worker to do the job alone)
6x = 84 minutes (time for the other)
----------------------------------------
Cheers,
Stan H.
========================
RELATED QUESTIONS
2. One model copier works 3 times as fast as the other. Working together, the copiers can (answered by josmiceli)

Hi there, I am confronted with the following question: "A job takes 4 hrs for two... (answered by Earlsdon)

If it takes a Dell Dimension-8300 computer 4 hours to crack a UNIX password file and... (answered by Earlsdon)

Working together, two people can mow a large lawn in 4 hours. One person can do the job... (answered by ankor@dixie-net.com)

It takes joan 3 times longer than jane to file reports. together they can do it in 12... (answered by Tatiana_Stebko)

Working together, two people can complete a task in 9 hours. Working alone, one person... (answered by solver91311)

Working together, two people can complete a task in 10 hours. Working alone, one person... (answered by scott8148)

One clerk can file 12 folders per minute and a second clerk, 9 folders. How long will it... (answered by amomoses)

One clerk can file 12 folders per minute and a second clerk, 9. How long will it take... (answered by northern,josmiceli,richwmiller,MathTherapy)