Study, study, study

This task is about doing calculations with time.
Elena is tired and falls asleep at 7:00 p.m. She wakes at 8:30 p.m., and studies for 2 1/4 hours.
She goes to bed immediately and sleeps until 6:30 a.m. the next morning.  
 
a)
What time did Elena finally go to bed? __________  
 
b)
Draw the hands on the three clock faces below to show:  
 
  i)
the time Elena started studying
 
 
  ii)
the time Elena finished studying
 
 
 
  iii)
the time Elena woke up in the morning