An engaging Time & Work problem

Logic Level 5

Two men and a woman are entrusted with a task. The second man needs 3 hours more to cope with the job than the first man and the woman would need working together. The first man, working alone, would need as much time as the second man and woman working together. The first man, working alone, would spend 8 hours less then the double period of time the second man would spend working alone. How much time (in minutes) would the two men and woman need to complete the task if they all work together?

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