A man buys a house with an old well but does not know how deep the well is. To get an

Chapter 1, Problem 95

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A man buys a house with an old well but does not know how deep the well is. To get an estimate he decides to drop a rock in the opening of the well and time how long it takes until he hears the splash. The total elapsed time T given by T t1 t2, is the sum of the time it takes for the rock to reach the water, t1, and the time it takes for the sound of the splash to travel to the top of the well, t2. The time (seconds) that it takes for the rock to reach the water is given by , where d is the depth of the well in feet. Since the speed of sound is 1100 ft/s, the time (seconds) it takes for the sound to reach the top of the well is If the splash is heard after 3 seconds, how deep is the well?

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