The roasting will be complete in two hours.
Given information:
Initial temperature of the meat in refrigerator is [tex]40^{\circ}[/tex] F.
The temperature of the oven is [tex]350^{\circ}[/tex] F.
In one hour, the final temperature of the meat in oven is [tex]90^{\circ}[/tex] F.
So, the rise in temperature of the meat in one hour is,
[tex]90-40=50^{\circ}\rm\;F[/tex]
Now, meat has to reach a temperature of 140 F to be roasted.
So, the time required for the same will be,
[tex]\dfrac{1}{50}\times (140-40)=\dfrac{1}{50}\times 100\\=2\rm\; hours[/tex]
Therefore, the roasting will be complete in two hours.
For more details about roasting or cooling time, refer to the link;
https://brainly.com/question/23571
