Question

the amount of time it take for an ice cube to melt varies inversely to the air temperature, in degrees. At 70 , the ice will melt in 20 min. How long will it take the ice to melt if it the tempature is 85f?

Answer 1

Answer:

It will take 47.554 minute to melt the ice cube at 90°F

Step-by-step explanation:

We have given temperature in Fahrenheit is 85°F

From degree Celsius to Fahrenheit we know that

$^{\circ}F=\frac{9}{5}C+32$

So $85=\frac{9}{5}\times C+32$

$\frac{9}{5}\times C=53$

$C=29.44^{\circ}C$

According to question time taken to melt ice is inversely proportional to temperature

So $\frac{T_1}{T_2}=\frac{t_2}{t_1}$, here T is temperature and t is time

So $\frac{70}{29.44}=\frac{t_2}{20}$

$t_2=47.554min$