Need help please!!! thanks!!!

Question

If Dustin does a job in 54 hours and with the help of Kylie they can do it together in 36 hours, how long would it take Kylie to do it alone?

 

_______ Hours

Answer 1

36(1/54 + 1/k) = 1

 

1/54 + 1/k = 1/36

 

1/k = 1/36 - 1/54

1/k = 3/108 - 2/108

1/k = 1/108

k = 108

Answer 2

Let x be the hours Kylie take, then 1/54 +1/x = 1/36

To solve: (x+54)/54x = 1/36

              54x = 36x + 1944

              18x= 1944

              x= 108

Therefore, Kylie takes 108 hours to do a job alone.