A body at a temperature of ${50}^{0}F$ is placed outdoors where the temperature is ${100}^{0}F$ . If the rate of change of the temperature of a body is proportional to the temperature difference between the body and its surrounding medium. If after 5 min the temperature of the body is ${60}^{0}F$ , find (a) how long it will take the body to reach a temperature of 75 ${}^0$ F and (b) the temperature of the body after 20 min.

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