Question

15. Find the temperature at which Fahrenheit reading
is 1.5 times the Celsius reading.
(1) - 107° F
(2) - 160° F
(3) - 160°C
(4) 160° F

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Answer 1

Answer:

F = -160 Fahrenheit

Explanation:

The relationship between the Fahrenheit and Celsius reading is given by :

$C=(F-32)\times \dfrac{5}{9}$..........(1)

It is given that,

$F=1.5 C$

$C=\dfrac{F}{1.5}$

Put the value of C in equation (1) as :

$\dfrac{F}{1.5}=(F-32)\times \dfrac{5}{9}$

$F-32=\dfrac{9F}{7.5}$

F = -160 Fahrenheit

So, at -160 Fahrenheit the Fahrenheit reading  is 1.5 times the Celsius reading. Hence, this is the required solution.