A man drove from Town A to Town B for 2 hours 26 minutes. He was in Town B for 45 minutes. Then, he returned from Town B to Town A in 1 hour 12 minutes. He left Town A at 8 A.M. At... A man drove from Town A to Town B for 2 hours 26 minutes. He was in Town B for 45 minutes. Then, he returned from Town B to Town A in 1 hour 12 minutes. He left Town A at 8 A.M. At what time did he return to Town A?
Understand the Problem
The question describes a scenario where a man drives from Town A to Town B, spends some time in Town B, and then returns to Town A. The problem asks to determine the time he returns to Town A, given the time he left and the duration of each leg of the trip and the stay in Town B. We can solve this problem step by step by adding the time spent traveling to and from each town to the departure time.
Answer
12:23 P.M.
Answer for screen readers
12:23 P.M.
Steps to Solve
- Calculate the arrival time at Town B
The man left Town A at 8:00 A.M. and drove for 2 hours and 26 minutes to Town B. So, add 2 hours and 26 minutes to 8:00 A.M.
$8:00 \text{ A.M.} + 2 \text{ hours } 26 \text{ minutes} = 10:26 \text{ A.M.}$
- Calculate the departure time from Town B
The man stayed in Town B for 45 minutes. So, add 45 minutes to the arrival time at Town B (10:26 A.M.).
$10:26 \text{ A.M.} + 45 \text{ minutes} = 11:11 \text{ A.M.}$
- Calculate the return time to Town A
The man drove back to Town A from Town B in 1 hour and 12 minutes. Thus, add 1 hour and 12 minutes to the departure time from Town B (11:11 A.M.).
$11:11 \text{ A.M.} + 1 \text{ hour } 12 \text{ minutes} = 12:23 \text{ P.M.}$
12:23 P.M.
More Information
The man returned to Town A at 12:23 P.M. This problem demonstrates how to calculate elapsed time by adding different durations together.
Tips
A common mistake is miscalculating the addition of time, especially when the minutes sum up to more than 60. For example, adding 45 minutes to 10:26 A.M. requires carrying over 1 hour when the minutes exceed 60. Another mistake is forgetting to convert the final time to P.M. if the sum passes 12:00.
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