Answer:
50 minutes
Step-by-step explanation:
Given:
Temperature, T = 230°F
Overheat temp, To = 280°F
Ts = 80°F
Cooling rate, r = 0.0058
Since the car can be driven again at 230°F, and when it is 80°F outside, the cooling rate of the car is 0.0058, using Newton's law of cooling, we have:
Substituting figures, we have:
Solving further, let's subtract 80 from both sides, we now have:
Divide both sides by 200:
Let's take the natural log of both sides, we have:
Using logarithm power rule, we have:
= - 0.2877 = - 0.0058t
To find t, let's now divide both sides by -0.0058
50 = t
Therefore, you have to wait for 50 minutes before you can continue driving.