Question

The readings of a bath on Celsius and Fahrenheit thermometers are in the ratio $2: 5 .$ The temperature of the bath is

• A. $-26.66^{\circ} C$
• B. $40^{\circ} C$
• C. $45.71^{\circ} C$
• D. $26.66^{\circ} C$

Answer 1

Answer: (C)

$\frac{T_{C}}{100}=\frac{T_{F}-32}{180}$
where
$T_{C} \longrightarrow$ temperature in Celcius
$T_{F} \longrightarrow$ temperature in Fahrenheit
$T_{c}: T_{F}$ given as $2: 5$
Let $T_{c}=2 x$
$T_{F}=5 x$
$\frac{2 x}{10}=\frac{5 x-32}{18}$
$x=\frac{160}{7}$
So, $2 x=\frac{320}{7} \sim 45.7^{\circ} C$