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

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

Explanation:

We have given temperature in Fahrenheit is 85°F

From degree Celsius to Fahrenheit we know that

`^(\circ)F=(9)/(5)C+32`

So
`85=(9)/(5)* C+32`

`(9)/(5)* C=53`

`C=29.44^(\circ)C`

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

So
`(T_1)/(T_2)=(t_2)/(t_1)`, here T is temperature and t is time

So
`(70)/(29.44)=(t_2)/(20)`

`t_2=47.554min`