SOLUTION: Hello!
An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 6 hours. How long would it take the experienc
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Question 335677: Hello!
An experienced accountant can balance the books twice as fast as a new accountant. Working together it takes the accountants 6 hours. How long would it take the experienced accountant working alone?
Thanks!
Answer by jrfrunner(365) (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 6 hours. How long would it take the experienced accountant working alone?
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Let E=time taken by experienced accountant
Let N=time taken by new accountant
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Given: An experienced accountant can balance the books twice as fast as a new accountant.
Therefore N=2*E or E=N/2
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Let 1/N = proportion of job completed by New accountant in "one" hour
Let 1/E = proportion of job completed by Experienced accountant in "one" hour
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"Every" hour working "together" they will accomplish
of the job
since the job takes 6 hours for both working together then
(substitute N=2*E or E=N/2)
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Solve for E
(common denominator)
9/E=1
E=9 hours
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