Emma is a professional photographer who travels frequently for her assignments. On one of her trips, she needs to travel from City P to City Q, which are 420 miles apart. She starts her journey from City P at 8:00 AM and drives at a constant speed of 60 miles per hour. After covering half the distance, she takes a break for lunch, which lasts for 45 minutes. After the break, she continues her journey at a reduced speed of 50 miles per hour due to road conditions. What time does Emma arrive in City Q?

Half of the 420-mile journey is 210 miles. At 60 miles per hour, the first part takes 210 divided by 60, equaling 3.5 hours. After a 45-minute break, the remaining 210 miles at 50 miles per hour takes 210 divided by 50, equaling 4.2 hours, which is 4 hours and 12 minutes. Adding 3 hours 30 minutes, 45 minutes, and 4 hours 12 minutes yields a total travel time of 8 hours and 27 minutes. Adding this to the 8:00 AM start time results in an arrival time of 4:27 PM.

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