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Suppose two sisters, Esther and Agnes, live miles apart. Esther has three young children who are planning to visit their Aunt Agnes for a week. Esther and Agnes agree to leave at the same time, drive toward each other, and meet somewhere along the route. Esther’s average speed is miles per hour. Agnes’ average speed is miles per hour. How long will it take for Esther and Agnes to meet? Answer in hours and minutes.

Let represent time in hours and represent distance in miles. Set up an equations using .

Where is Agnes' rate.

Where is Esther's rate.

(Agnes' Distance) + (Esther's Distance) = (total distance)