Question

Robert takes a roast out of the oven when the internal temperature of the roast is 165°F. After 15 minutes, the temperature of the roast drops to 135°F.

The temperature of the room is 70°F.

How long does it take for the temperature of the roast to drop to 110°F?

Use the Newton's Law of Cooling equation, T(t)=TA+(T0−TA)ekt .

Enter your answer in the box. Round your answer to the nearest minute.
Please help me get to this answer?

Answer 1

Answer:

55 minutes :)

Step-by-step explanation:

Rate of drop of temperature = Change in temperature/Rate

=> (165 - 135)/15

=> 30/15

=> 2 ⁰F/min

Now, The time at which the temperature of will be 70⁰F = 70/Rate

=> 70/2

=> 35 min

Time for 110⁰ F

=> 110/2

=> 55 min