Answer:time taken to run from his house to the park is 12 minutes
Step-by-step explanation:
Let x represent the distance between his house and the park.
The speed at which Adrian ran from his house to the park is 5 meters per second.
Distance = speed × time
Time = distance/speed
Therefore, time taken to run from his house to the park would be
Time = x/5
The speed at which he ran back from the park to his house is 6 meters per second.
Time taken to run back from the park to his house would be
Time = x/6
The total time taken to run the whole journey was 22 minutes. Converting to seconds, it becomes 22× 60 = 1320 seconds. Therefore,
x/5 + x/6 = 1320
Multiplying through by 30, it becomes
6x + 5x = 39600
11x = 39600
x = 39600/11 = 3600 meters
Therefore, time taken to run from his house to the park would be
x/5 = 3600/5 = 720 seconds
Converting to minutes, it becomes
720/60 = 12 minutes
