Given :
The temperature in Jeff City is 58 degrees and is rising 0.5 degrees each hour .
The temperature in Amber city is 61° and is rising 0.25 out each hour .
To Find :
After how many hours will the temperatures of Jeff's and Amber's city be the same .
Solution :
Let , after x hours temperature of both the city is same .
Now , time dependency of temperature in Jeff's city is :
[tex]T_1=0.5t+58[/tex] .
Also , in Amber;s city :
[tex]T_2=0.25t+61[/tex] .
Now , at time x temperature of both city is same .
So ,
[tex]0.5x+58=0.25x+61\\\\0.25x=3\\\\x=12\ hours[/tex]
Therefore , after 12 hours the temperatures of Jeff's and Amber's city will be same .
Hence , this is the required solution .
