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If m workers can complete a job in d days, how many days will it take n workers, working at the same rate, to complete one-third of the job? Express your answer as a common fraction in terms of d, m and m, in alphabetical order where applicable.

 Apr 22, 2020
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Each worker m works d days, so the total amount of days worked is m * d. 1/3 of the work would be \(\frac{md}{3}\). This means that it would take n workers \(\frac{md}{\frac{3}{n}}\) which simplifies to \(\frac{md}{3n}\).

 Apr 22, 2020

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