Explanation:
To find the time the delivery truck driver will finish her route, we need to calculate the time it takes to complete one part of the route and then determine how many such parts are covered from 8 o'clock in the morning to 2 o'clock in the afternoon.
The driver completes her route from 8 o'clock to 2 o'clock, which is a total of 6 hours (2 PM - 8 AM = 6 hours).
Since she completes 2/6 (or 1/3) of her route in 6 hours, we can find out how much time it takes to complete the entire route by dividing the total time (6 hours) by the fraction of the route completed (1/3):
Total time to complete the route = 6 hours / (1/3) = 6 hours * 3 = 18 hours.
Now, we need to add these 18 hours to the starting time (2 o'clock in the afternoon) to find the finishing time:
2 o'clock + 18 hours = 20 o'clock.
Since there are only 12 hours on a standard clock, 20 o'clock is the same as 8 o'clock.
Therefore, the driver will finish her route at 8 o'clock in the evening. So, the correct answer is (E) 8 o'clock.