Question

The temperature of a room heated by a heater is ${20}^{\circ }C$ when outside temperature is $-{20}^{\circ }C$ and it is ${10}^{\circ }C$ when the outside temperature is $-{40}^{\circ }C$. The temperature of the heater is

• A. ${80}^{\circ }C$
• B. ${100}^{\circ }C$
• C. ${40}^{\circ }C$
• D. ${60}^{\circ }C$

Answer 1

Answer: (D)

${60}^{\circ }C$

Let the temperature of the heater be, $T^{o}C$
Now, if the above conditions satisfy, then,
$\frac{T-20}{-20-20}=\frac{T-10}{-40-10}$
Solving the above equation for T, gives us $T={60}^{o}C$