SOLUTION: How would I find the answer to these 2 problems: If Tom can do a job in 2 days, Mike can do the job in 4 days, and Ann can do it in 6 days, how long will it take them if they do

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Question 339447: How would I find the answer to these 2 problems:
If Tom can do a job in 2 days, Mike can do the job in 4 days, and Ann can do it in 6 days, how long will it take them if they do it together?
What is the square of 25/9?
Thank you in advance for your help!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If Tom can do a job in 2 days, Mike can do the job in 4 days, and Ann can do it in 6 days,
how long will it take them if they do it together?
:
Let t = time required when they all work together
:
Let the completed job = 1
:
Each will do a fraction of the job, the three fractions add up to 1; therefore:
t%2F2 + t%2F4 + t%2F6 = 1
:
Multiply the equation by 12, results
6t = 3t + 2t = 12
:
11t = 12
t = 12%2F11
t = 11%2F11 hr or 1 hr + 1%2F11*60 = 1 hr 5.45 minutes
:
;
What is the square of 25/9?
Just square the numerator and the denominator: 625/81
:
In case you meant the square root: that's 5/3