It takes adi2 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?
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90 miles

Step-by-step explanation:

2 hours = work

speed = x

Distance to work = y

y = 2x

y = 3(x - 15)

3 * x = 3x

3 * -15 = -45

y = 2x

y = 3x - 45

Let's graph this (attached below)

We must find the point at which they intercept.

They intercept at (45, 90)

That means that x = 45 and y = 90

So, she is 90 miles from her office.

Let's check our work:

y = 2(45)

y = 3(45) - 45

y = y

y = 90

2 * 45 = 90

3 * 45 = 135

135 - 45 = 90

This proves that y = y and that y = 90.