Final answer:
Tamara's home is 324 meters from the beach, and her average walking speed for the entire round trip is 72 m/min. The distance was calculated using her initial speed and walking time, and the average speed was determined by dividing the total distance by the total walking time.
Step-by-step explanation:
The question involves calculating the distance between Tamara's home and the beach, as well as her average walking speed for the entire trip. To solve the mathematical problem completely, let's break it down into steps.
First, we calculate the distance traveled from home to the beach. Since Tamara walked at a speed of 81 m/min for 4 minutes, the distance is:
Distance = Speed × Time = 81 m/min × 4 min = 324 meters.
Next, we need to find out the speed at which Tamara walked back from the beach to her home. If it took 5 minutes for the return trip and the distance is the same, the speed for the return trip is:
Speed = Distance / Time = 324 meters / 5 minutes = 64.8 m/min.
Finally, we calculate the average speed for the entire trip. Since the round trip took 4 + 5 = 9 minutes and covered a total distance of 324 meters × 2 = 648 meters, the average speed is:
Average Speed = Total Distance / Total Time = 648 meters / 9 minutes = 72 m/min.
Therefore, the distance between Tamara's home and the beach is 324 meters, and her average walking speed for the round trip is 72 m/min.