Answer: The distance between Jasmine’s house and her grandmother’s house is 504 miles.
Explanation :To find the distance, we can use this following formula:
X = V x T
Where: X = distance, V = Velocity, and T = Time
Since we know that Jasmine rode her bike to see her grandma in the morning and the trip took her 45 minutes, the first equation would be X = V x 45.
On her trip back home, it was foggy, which caused her cycling speed to decrease by 4 mph that took her 1 hour and 10 minutes or 70 minutes. Therefore, the second equation would be X = (V-4) x 70.
By using the following equations above, we can assume that
V x 45 = (V-4) x 70
45 V = 70 V – 280
25 V = 280
V = 11.2 mph
Now that we have the velocity, we can find the distance =
X = V x T
X = 11.2 mph x 45 minutes
X = 504 miles
Thus, the distance between Jasmine’s house and her grandmother’s house would be 504 miles