It takes adi 2 hours to drive from home to her office and 3 hours if she drives 15 mph slower. what is the distance between adi's house and the office?

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 = 2xEquation 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 - 45Equation 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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90 miles

Step-by-step explanation:

Let ori. speed = z

distance = speed × time

= z × 2

= 2z miles

distance = (z - 15) × 3

= (3z - 45)miles

2z = 3z - 45

z = 45mph

distance = 45 × 2

= 90 miles

distance = (45-15) × 3

= 90 miles

(Correct me if i am wrong)

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