Final answer:
To find out how much more time was spent hiking than resting, we need to calculate the total time spent on each activity. Given that the hiking time is 3 2/3 hours and the rest time is 3/4 hour, the difference between the hiking time and the resting time is 2 11/12 hours.
Step-by-step explanation:
To find out how much more time was spent hiking than resting, we need to calculate the total time spent on each activity.
Given that the hiking time is 3 2/3 hours and the rest time is 3/4 hour, we can convert the mixed number to an improper fraction:
- 3 2/3 hours = (3*3 + 2)/3 hours = 11/3 hours
- Next, we subtract the rest time from the hiking time: 11/3 hours - 3/4 hour = (44/12 hours) - (9/12 hours) = 35/12 hours
Therefore, the difference between the hiking time and the resting time is 35/12 hours, which can be further simplified to 2 11/12 hours (option D).