1. Understand the Time Breakdown

* Sound Travel Time: The time it takes for the sound of the rock hitting the water to travel back to you.

* Rock Fall Time: The time it takes for the rock to fall from the top of the well to the water.

2. Calculate the Sound Travel Time

* You heard the sound 2.73 seconds after releasing the rock.

* Since the sound travels at 1130 ft/sec, we can calculate the distance (depth of the well) traveled by sound:

* Distance = Speed x Time

* Distance = 1130 ft/sec * 2.73 sec

* Distance ≈ 3084.9 ft

3. Determine the Rock Fall Time

* The total time of 2.73 seconds includes both the rock's fall time and the sound's travel time.

* To find the rock fall time, subtract the sound travel time:

* Rock Fall Time = Total Time - Sound Travel Time

* Rock Fall Time = 2.73 sec - 2.73 sec = 0 sec

4. Conclusion

This result is impossible. It suggests the rock hit the water instantly after release. This means the well is incredibly shallow, likely only a few inches deep. There must be an error in the problem statement.

Possible Error:

* The problem statement likely meant to say that you heard the rock hit the water *some time* after 2.73 seconds. For example, you might have heard the sound 3.2 seconds after releasing the rock. This would give you a more realistic time for the rock to fall.

Let me know if you'd like to solve the problem with a corrected time value.