Speed is defined as the distance(miles) covered per time(hours).
The distance between Adi's house and the office is 90 miles.
From the question, we know that the speed from Adi's house to her office is she drives 15 mph slower than her usual speed is 3 hours.
Let's represent her usual speed as: x
The formula for speed = distance / time
Distance = speed x time
Her usual time = 2 hours
Distance = x * 2
Distance = 2x............Equation 1
From the question, we know that the speed from Adi's house to her office is she drives 15 mph slower than her usual speed is 3 hours.
Her speed if she drives 15mph slower is = x - 15
Distance = 3 * (x - 15)
Distance = 3x - 45................Equation 2
Equate both equations to each other.
Equation 1 = Equation 2
2x = 3x - 45
Collect like terms
3x - 2x = 45
x = 45 mph = 45 miles per hour.
Her usual speed is 45 mph
Finding the distance from her house to her office:
Distance = Speed x time
= 45mph x 2 hours
= 90 miles
Therefore, the distance between Adi's house and the office is 90 miles.
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