Question

two thermometers are calibrated one in degrees celsius and the other in degrees fahrenheit. at what temperature are their readings the same?

Answer 1

Answer:

Both scales will read temperature at -40 degree C or - 40 degree F

Explanation:

As we know that two temperature scales are defined as

$\frac{T_c - 0}{100 - 0} = \frac{T_f - 32}{212 - 32}$

here we know that two temperature scales will read same values

so we will have

$T_f = T_c = x$

here we have

$\frac{x}{100} = \frac{x - 32}{180}$

$1.8 x = x - 32$

$x = -40 ^o C$