Answer :
Final answer:
Ezequiel walks at a constant speed of 2 meters per minute towards his home. Without knowing the total distance from the park to his home or his starting time, we cannot accurately determine how far it is between the park and his home nor the total time it takes him to get home.
Explanation:
We first need to calculate Ezequiel's walking speed. Since he's walking at a constant speed, we can find out how fast he's moving towards his home by looking at the difference in distance over the difference in time. From the question, after some minutes which are not specified, he is 100 meters away from his home, and after 10 minutes, he is 80 meters away, showing he covered 20 meters in 10 minutes. Therefore, his speed can be calculated as:
Speed = Distance ÷ Time = 20 meters ÷ 10 minutes = 2 meters per minute.
To find how far it is between the park and Ezequiel's home, we need more specific information regarding his start point or total walking time. However, with the given data, we conclude that we can calculate distance covered over any given time with the speed of 2 meters per minute but cannot specify the total distance from the park to home without knowing his starting time or distance.
For how long it takes Ezequiel to get home from the park, this question cannot be directly answered without knowing either his starting distance from home or the total distance between the park and his home.
The distance between the park and Ezequiel's home is 145.2m
The time taken for Ezequiel to get home is 22 minutes.
Calculations and Parameters:
Given:
t= 7 minutes
Every 3 minutes, he moves 20 meters more,
To find the number of minutes until he gets home,
80/20 x 3
= 12 minutes.
Add this to the minutes already walked,
12 + 10= 22 minutes.
We subtract the minutes walked which is 10-7= 3 minutes.
We convert it to seconds= 3 x 60= 180 seconds.
Hence, the speed is:
Distance/Time
= 20/180
= 0.11 m/s
Therefore, the distance between the park and home is:
Time x Speed
= (22 * 60) x 0.11
= 145.2m
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