You watch a distant woman driving nails into her front porch at a regular rate of 1 stroke per second. You hear the sound of the blows exactly synchronized with the blows you see. And then you hear two more blows after you see her stop hammering. How far away is she?

It takes the sound two seconds (the elapsed time between strokes 2 apart) to reach the listener. Multiply that time by the speed of sound to get the distance.

Thank You!!!!!

You're welcome! To determine the distance, we need to multiply the time it takes for sound to reach the listener by the speed of sound.

In this scenario, you mentioned that there are two more blows heard after you see the woman stop hammering. This means that there is a total time delay of two seconds for the sound to reach you after the woman stops hammering.

The speed of sound in air is approximately 343 meters per second. So, multiplying the two seconds by the speed of sound, we get:

Distance = 2 seconds * 343 meters/second = 686 meters

Therefore, the woman is approximately 686 meters away from your location.