Extending Time and Appointment

Extend the Time class with the following methods:

addMinutes(n), which adds n minutes to this Time. Take care to make sure that the minutes field ends up within range.
addHours(n), which adds n hours. It can wrap or throw an exception if you pass midnight.
equals(Time d), which checks Times this and d for equality
compareTo(Time d), which returns -1, 0, 1 according to whether this time occurs before, at, or after d.

Extend the Appointments class so that:

An appointment has an additional field, "reminder time".
The constructor already in the class sets the reminder time to the appointment time
There is another constructor which lets you specify the reminder time,
and another one which lets you specify the duration between reminder and appointment, and calculates the reminder time using Time.addMinutes().