SOLUTION: An experienced accountant can balance the books twice as fast as a new accountant. Working together, it takes the accountants 10 hours. How long would it take the expereinced acc

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Question 78492: An experienced accountant can balance the books twice as fast as a new accountant. Working together, it takes the accountants 10 hours. How long would it take the expereinced accountant working alone.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An experienced accountant can balance the books twice as fast as a new accountant. Working together, it takes the accountants 10 hours. How long would it take the expereinced accountant working alone.
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Exp accountant DATA:
Time = x hr/job ; Rate = 1/x job/hr
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New accountant DATA:
Time = 2x hr/job ; Rate = 1/2x job/hr.
-----------
Together DATA:
time = 10 hr/job ; Rate = 1/10 job/hr.
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EQUATION:
rate + rate = rate together
1/x + 1/2x = 1/10
3x/2x^2 = 1/10
30x=2x^2
x=15 hr (time for experienced accountant to do the job)
2x=30 hr (time for the new accountant to do the job)
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Cheers,
Stan H.