Question:
The temperature on a Fahrenheit temperature scale that is twice the temperature on a Celsius temperature scale is:
The temperature on a Fahrenheit temperature scale that is twice the temperature on a Celsius temperature scale is:
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The relation \( F = \frac{9}{5}C + 32 \) helps in converting temperatures between Celsius and Fahrenheit.
Updated On: Mar 11, 2025
- \(160^\circ F\)
- \(240^\circ F\)
- \(320^\circ F\)
- \(480^\circ F\)
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The Correct Option is C
Solution and Explanation
We use the Fahrenheit-Celsius conversion formula:
\[
F = \frac{9}{5}C + 32
\]
Given that the Fahrenheit temperature is twice the Celsius temperature:
\[
F = 2C
\]
Substituting \( F = \frac{9}{5}C + 32 \):
\[
2C = \frac{9}{5}C + 32
\]
Solving for \( C \):
\[
2C - \frac{9}{5}C = 32
\]
\[
\frac{10C - 9C}{5} = 32
\]
\[
\frac{C}{5} = 32
\]
\[
C = 160^\circ C
\]
\[
F = 2C = 320^\circ F
\]
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