Sue and Joe are on opposite sides of a circular lake that is 1260 feet in circumference. They walk around it, starting at the same time and walking in the same direction. Sue walks at the rate of 50 yards a minute, and Joe walks at the rate of 60 yards a minute. In how many minutes will Joe overtake Sue?

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Sue and Joe are on opposite sides of a circular lake that is 1260 feet in circumference. They walk around it, starting at the same time and walking in the same direction. Sue walks at the rate of 50 yards a minute, and Joe walks at the rate of 60 yards a minute. In how many minutes will Joe overtake Sue?