Horsepower engine is required?

pbumper1

1. The problem statement, all variables and given/known data
A 80kg skier grips a moving rope that is powered by an engine and is pulled at constant speed to the top of a 23*degrees hill. The skier is pulled a distance x = 250m along the incline and it takes 2.1 minutes to reach the top of the hill.
If the coefficient of kinetic friction between the snow and skis is uk = 0.10, what horsepower engine is required if 30 such skiers (max) are on the rope at one time?

2. Relevant equations

P= w/t=mgy/t

3. The attempt at a solution
80x9.8xsin23*=306
Fnuk=Fr
80x9.8x.1=78.4
306+78.4=390N

390x9.8x250/126s=773 W X30 =3.1x10^4hp