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Let's start by calculating the plowing rate of each person. The plowing rate is the reciprocal of the time taken to plow the field.
Guy A's plowing rate = 1 field / 30 minutes = 1/30 fields per minute.
Guy B's plowing rate = 1 field / 60 minutes = 1/60 fields per minute.
To find the combined plowing rate when they work together, we can sum their individual rates:
Combined plowing rate = Guy A's rate + Guy B's rate
= 1/30 fields per minute + 1/60 fields per minute
= (2 + 1) / 60 fields per minute
= 3/60 fields per minute
= 1/20 fields per minute.
Now that we know the combined plowing rate, we can determine how long it will take them to complete the task together. We can use the formula:
Time = 1 / Combined plowing rate.
Time = 1 / (1/20 fields per minute)
= 20 minutes.
