Solving for Speed in Elevator Motor Operation

[demode]

The prompt:

"A 20-kilowatt motor operates an elevator weighing 10,000 N. What is the maximum speed at which the motor can raise the elevator?"

How can i solve for speed?

I know that power = work / time, and work = force * distance, but I cannot solve for work because I only know a force without a distance, and I cannot solve for power because I don't know work NOR time... What am i missing here?

**EDIT**

Wow I just realized that P = w/t = f*d/t = f * d/t = F*V

With that being said, I can use P = F*V, or in my case, 20000 = 10000*X... Right?

 

[QuantumCrash]

Yup. That works quite well.

 

[demode]

Haha, thanks mate..

I hate making posts on here and realizing literally 5 seconds afterwards that I understand it :)