Andrea and Zach are both waiting for an
appointment with a guidance counselor.
When they arrived, each received a card
from the secretary, telling the hour and
minute of his or her arrival. Two minutes
ago, Andrea had been waiting exactly as
many minutes as Zach. Three minutes from
now, Andrea will have been waiting exactly
2/3 as long as Zach. If the time is now 11:30,
at what time did Andrea arrive?
Choose the correct answer
A) 11:16  B) 11:18  C) 11:20  D) 11:23  E) 11:25
Let a equal the number of minutes that Andrea had been waiting two minutes ago. At   that time, Zach had been waiting for twice as long as Andrea, so he had been waiting for   2a minutes. Three minutes from now, both Andrea and Zach will each have been waiting   for 5 minutes longer:   Two minutes ago Three minutes from now   Andrea a a + 5   Zach 2a 2a + 5   Three minutes from now, Andrea will have been waiting for 23   as long as Zach, so make an equtation as follows:   a+5=2/3(2a+5)   3a+15=2(2a+5)   3a+15=4a+10   3a+5=4a   5=a   Thus, two minutes ago, at 11:28, Andrea had been waiting for 5 minutes. So she arrived at 11:23.   correct answer 11:23)11.23
<result>D</result>
Andrea and Zach are both waiting for an
appointment with a guidance counselor.
When they arrived, each received a card
from the secretary, telling the hour and
minute of his or her arrival. Two minutes
ago, Andrea had been waiting exactly as
many minutes as Zach. Three minutes from
now, Andrea will have been waiting exactly
2/3 as long as Zach. If the time is now 11:30,
at what time did Andrea arrive?