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The amount of time needed to complete a job, t, varies inversely with the number of workers, w. If 11 workers can complete a job in 36 minutes, how many minutes would it take 6 workers?

Answer :

Time T = k/W where k = the proportionality constant and W = number of workers

Find k k = TW = 36(11) = 396
So,
T = 396/6= 66 minutes

Therefore, it would take 66 minutes for 6 workers.