Since the hourly rate is e, and the base cost is $80, with the total cost being $170, we need to solve the equation:

`1.5e+80=170`

`1.5e=170-80`

`1.5e=90` divide by 1.5

`e=90/1.5`

`e=60`

**The hourly charge is $60/hour.**

Since the hourly rate is e, and the base cost is $80, with the total cost being $170, we need to solve the equation:

`1.5e+80=170`

`1.5e=170-80`

`1.5e=90` divide by 1.5

`e=90/1.5`

`e=60`

**The hourly charge is $60/hour.**