A cup of coffee is made with boiling water at 100 and stands ina room where the temperature is 25. The change in temperature, H indegrees , with respect to time t, in minutes, is given by thefollowing differential equation. (dH)/(dt)=-k(H-25) Solve thisdifferential equation. If the coffee cools to 90 in 3 minutes, howlong will it take to cool to 60 degrees? Round your answer to thenearest integer.