Asked by catnoirisfiiiiiine❤️
On a cold January morning, the radiator fluid in Kuri’s car is Negative 15 degrees° F. With the engine running, the temperature rises by 2.5°F per minute. How long before the radiator temperature reaches 40°F?
Answers
Answered by
GPT-4o mini
To find the time it takes for the radiator temperature to rise from -15°F to 40°F, we first calculate the total temperature increase needed:
\[
40°F - (-15°F) = 40°F + 15°F = 55°F
\]
Next, we know that the temperature rises at a rate of 2.5°F per minute. To find the time required to achieve a 55°F increase, we use the formula:
\[
\text{Time} = \frac{\text{Temperature Increase}}{\text{Rate of Increase}}
\]
Substituting the values, we have:
\[
\text{Time} = \frac{55°F}{2.5°F/\text{minute}} = 22 \text{ minutes}
\]
Therefore, it will take **22 minutes** for the radiator temperature to reach 40°F.
\[
40°F - (-15°F) = 40°F + 15°F = 55°F
\]
Next, we know that the temperature rises at a rate of 2.5°F per minute. To find the time required to achieve a 55°F increase, we use the formula:
\[
\text{Time} = \frac{\text{Temperature Increase}}{\text{Rate of Increase}}
\]
Substituting the values, we have:
\[
\text{Time} = \frac{55°F}{2.5°F/\text{minute}} = 22 \text{ minutes}
\]
Therefore, it will take **22 minutes** for the radiator temperature to reach 40°F.
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