Question

Two thermometers, one celsius and other Fahrenheit are put in a hot bath. The reading in the Fahrenheit thermometers is just three times the reading on the celsius thermometer. The temperature of the bath is

• A. $70$
• B. $80$
• C. $100$
• D. $\left(\frac{80}{3}\right)$

Answer 1

The correct option is

C

$\left(\frac{80}{3}\right)$

The correct answer is option(D).

We know,

$\frac{(F-32)}{180}=\frac{(C-0)}{100}$

According to question ,

F = 3C

so,

$\frac{(3C-32)}{180}=\frac{C}{100}$

$⟹\frac{3C-32}{9}=\frac{C}{5}⟹15C-160=9C⟹6C=160⟹C=\frac{160}{6}=\frac{80}{3}$