Answer:
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.
