Respuesta :

Answer:

5.45 hours or 5 hours 27 minutes to nearest minute.

Step-by-step explanation:

We work in rates per hour.

Kevin does 1/10 of the roof in an hour and Sam does 1/12 of the roof/hour.

Now we add to get the equation:

1/10 + 1/12 = 1 / x    where x is the time they take to repair the roof working together.

Multiplying through by the LCM 60x:

6x + 5x = 60

11x = 60

x =60/11

x = 5.45 hours.