Respuesta :
Answer: the distance to his cousin's home is 60 miles
Step-by-step explanation:
Let t represent the time that it took Chun to bike to cousin’s home.
Excluding breaks, it took Chun a total of 10 hours to bike to a cousin’s home and return. This means that the time it took Chun and his cousin to return is 10 - t
Distance = speed × time
On the way, Chun biked alone and averaged 15 mph. This means that the distance that Chun covered in
t hours is 15t
On the way back, with his cousin, he averaged 10 mph. This means that the distance that they covered on their way back is
10(10 - t)
Since the distance remains the same, it means that
15t = 10(10 - t) = 100 - 10t
15t + 10t = 100
25t = 100
t = 100/25
t = 4
Therefore, the number of miles to his cousin’s home is
15t = 15 × 4 = 60 miles
Answer:
Answer: the distance to his cousin's home is 60 miles
Step-by-step explanation:
