Hi,
The default unit for time is seconds in Simulink. You can get a list of all default units from showunitslist command. Transfer function is nothing but the impulse response of a system converted to laplace domain. Here, in this transfer function, 5*60/7 seconds is the time constant according to you but it is 5/7 seconds according to Simulink. So, the response time of the simulink model will be much faster(60 times) as compared to your actual model. Therefore, it is a good practice to change all the units to the default unit before running the simulation.
