SOLUTION: One printer can do a printing job in 2 hours. Another printer can do the same job in 15 hours. How long can they do the job working together?

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Question 353322: One printer can do a printing job in 2 hours. Another printer can do the same job in 15 hours. How long can they do the job working together?
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period.

So, working together, they can do



of the job in 1 time period.

Therefore, they can do the whole job in:



time periods.


John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One printer can do a printing job in 2 hours. Another printer can do the same job in 15 hours. How long can they do the job working together?
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1st printer rate = 1/2 job/hr
2nd printer rate = 1/15 job/hr
----
Together rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/2 + 1/15 = 1/x
Multiply thru by 30x:
15x + 2x = 30
17x = 30
x = 30/17 hrs = 1 hr (13/17)(60 min)
= 1 hr 46 minutes
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Cheers,
Stan H.