SOLUTION: “It took Peter sixteen more minutes to drive to work today than it did yesterday. Tomorrow he wants it to take five minutes less than yesterday so that his average drive time for t

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Question 404852: “It took Peter sixteen more minutes to drive to work today than it did yesterday. Tomorrow he wants it to take five minutes less than yesterday so that his average drive time for the three days is no more than 30 minutes. How long did it take Peter to get to work each day?”


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let t = time to drive yesterday
t+%2B+16 = today's time
t+-+5 = time he wants to drive tomorrow
The average time is:
%28t+%2B+t+%2B+16+%2B+t+-+5%29%2F3+%3C=+30
%283t+%2B+11%29%2F3+%3C=+30
+3t+%2B+11+%3C=+90
3t+%3C=+79
t+%3C=+79%2F3
t+%2B+16+%3C=+127%2F3
t+-+5+%3C=+64%2F3
The times are:
26 1/3 min, 42 1/3 min, and 21 1/3 min