Answer:
time greater than 6 hours
Step-by-step explanation:
For this problem, we are given the rate at which the refrigerator's temperature increases and the rate at which the oven's temperature decreases along with the initial temperatures for both. Using this information, we can determine the amount of time that will need to pass for the two to have equal temperature, or pass each other in opposite directions of temperature. Let's write the inequality using the information:
40 + 5t > 340 - 45t
Let t be the amount of time passed in hours. So, we simply need to solve the inequality for t.
40 + 5t > 340 - 45t
40 + 50t > 340
50t > 300
t > 6
Given this information, we know that after 6 hours have passed, the temperature of the fridge and oven will be equal. So we can say that any time greater than 6 hours, the fridge will have a higher temperature than the oven.
Cheers.
