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

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° C (B) 40° C (C) 45.71° C (D) 26.66° C

Tardigrade Admin · Accepted Answer

(TC/100)=(TF-32/180) where TC longrightarrow temperature in Celcius TF longrightarrow temperature in Fahrenheit Tc: TF given as 2: 5 Let Tc=2 x TF=5 x (2 x/10)=(5 x-32/18) x=(160/7) So, 2 x=(320/7) ∼ 45.7° C

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

$- 26.6 6^{\circ} C$

$4 0^{\circ} C$

$45.7 1^{\circ} C$

$26.6 6^{\circ} C$

$\frac{T _{C}}{100} = \frac{T _{F} - 32}{180}$
where
$T_{C} ⟶$ temperature in Celcius
$T_{F} ⟶$ 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, $2 x = \frac{320}{7} \sim 45. 7^{\circ} C$

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

−26.66∘C

40∘C

45.71∘C

26.66∘C