High School

If a journey is supposed to take 2 1/4 hours and Joe arrives at 13:42 after leaving at 11:17, did Joe take less time or more time than expected, and what is the time difference?

A. Joe took more time and the time difference was 10 minutes.
B. Joe took more time and the time difference was 25 minutes.
C. Joe took less time and the time difference was 15 minutes.
D. Joe took less time and the time difference was 25 minutes.

Answer :

To determine if Joe took less or more time than expected, let's first calculate the expected time for the journey and then compare it with the actual time taken by Joe.

Step-by-step calculation:

  1. Expected Journey Time:

    • The journey is supposed to take [tex]2 \frac{1}{4}[/tex] hours. In decimal form, this is [tex]2.25[/tex] hours.

  2. Convert Expected Time to Minutes:

    • [tex]2.25[/tex] hours = [tex]2 \times 60 + 0.25 \times 60 = 120 + 15 = 135[/tex] minutes.

  3. Actual Time Taken by Joe:

    • Joe started at 11:17 and arrived at 13:42.
    • To find the actual time taken, calculate the difference between these two times.

  4. Calculating the Time Difference:

    • From 11:17 to 12:17 is 60 minutes.
    • From 12:17 to 13:17 is another 60 minutes.
    • From 13:17 to 13:42 is 25 minutes.
    • Total actual time Joe took: [tex]60 + 60 + 25 = 145[/tex] minutes.

  5. Comparison:

    • Expected time: 135 minutes.
    • Actual time: 145 minutes.
    • Difference: [tex]145 - 135 = 10[/tex] minutes.

Joe took more time than expected, and the time difference was 10 minutes.

Therefore, the correct multiple choice answer is: Joe took more time and the time difference was 10 minutes.

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