```
Work = Force x Distance
```
In this case, the force is the weight of the piano, which is:
```
Force = mass x gravity
Force = 315 kg x 9.8 m/s²
Force = 3087 N
```
The distance is the height the piano needs to be lifted, which is 16 m.
```
Work = 3087 N x 16 m
Work = 49,408 J
```
The power of the motor is 1750 W, which means that it can do 1750 J of work per second.
```
Time = Work / Power
Time = 49,408 J / 1750 W
Time = 28.23 s
```
Therefore, it will take the motor 28.23 seconds to lift the piano to the sixth-story window.