SOLUTION: Betty drives for a number of hours at 65 miles per hour. When traffic slows, she drives at 44 miles per hour. She travels at 44 miles per hour for 0.5 hour longer than she

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Question 1116416: Betty drives for a number of hours at
65 miles per hour. When traffic slows, she drives at
44 miles per hour. She travels at
44 miles per hour for 0.5 hour longer than she traveled at
65 miles per hour. The difference in the distance traveled at
44 mph and 65 mph is 1 mile.
Determine how long Betty traveled at
44 miles per hour.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
             SPEED           TIME         DISTANCE
              65              t             65t
              44              t+0.5         44(t+0.5)
Difference                                   1

To find the time traveled at 65 mph,
44%28t%2B1%2F2%29-65t=1
-
44t%2B22-65t=1
%2844-65%29t=1-22
-21t=-21
t=1

Time at 44 mph was 1%261%2F2 hours.