Multiple choice

Emma, a photographer, was on her way to City Q, 420 miles from her home. She drove the first half of the journey at 60 miles per hour (mph), stopped for a 30-minute break, and then reduced her speed to 50 mph for the second half. What time did she complete her journey if she left at 8:00 AM?

  1. 3:30 PM

  2. 3:32 PM

  3. 4:12 PM

  4. 4:22 PM

  5. 4:32 PM
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The first 210 miles at 60 mph takes 3.5 hours. The 30-minute break adds 0.5 hours. The remaining 210 miles at 50 mph takes 4.2 hours (4 hours and 12 minutes). Total time is 3.5 + 0.5 + 4.2 = 8.2 hours, which is 8 hours and 12 minutes after 8:00 AM, resulting in 4:12 PM.

AI explanation

The total distance is 420 miles, so each half is 210 miles. The time for the first half is 210/60 = 3.5 hours, the break is 0.5 hours, and the time for the second half is 210/50 = 4.2 hours, making the total travel time 8.2 hours. Since 0.2 hours equals 12 minutes, the total time is 8 hours and 12 minutes. Adding this to an 8:00 AM departure means she completes the journey at 4:12 PM.

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