Answer:
Time = Distance / Speed
Time is taken from home to park = d / 10
Abel cycled back from the park to his home at an average speed of 8 km/h. The time taken for this part of the journey can be calculated using the same formula:
Time = Distance / Speed
Time is taken from park to home = d / 8
According to the given information, the total time taken for the whole journey is 1 1/5 hours, which is equivalent to 6/5 hours.
Total time is taken = Time from home to park + Time from park to home
6/5 = d/10 + d/8
To simplify the equation, let's find the least common multiple (LCM) of 10 and 8, which is 40:
(6/5) * 40 = (d/10) * 40 + (d/8) * 40
48 = 4d + 5d
48 = 9d
d = 48/9
d = 16/3 km
Now, to find the time taken from the park to Abel's home, we substitute the distance value:
Time from park to home = (16/3) / 8
Time from park to home = (16/3) * (1/8)
Time from park to home = 16/24
Time from park to home = 2/3 hour
Since 2/3 of an hour is equal to 40 minutes, Abel took 40 minutes to cycle from the park to his home.
Therefore, Abel took 40 minutes (or 2/3 of an hour) to cycle from the park to his home.