5. A young adult is running a 24-mile course. If they run the first 6 miles in 1 hour, the second 6 miles in 1.2 hours, the third 6 miles in 1.5 hours, and the fourth 6 miles in 1.6 hours, how long will it take them to complete the run? (Round to the nearest tenth.)
Answer: A
It will take the young adult 5.3 hours to complete the run.
To find the total time taken to complete the 24-mile course, we need to sum the times taken for each segment of the run: 1 hour for the first 6 miles, 1.2 hours for the second 6 miles, 1.5 hours for the third 6 miles, and 1.6 hours for the fourth 6 miles. Adding these times together results in a total of 5.3 hours.
A) 5.3
This option correctly represents the total time calculated by adding the individual times: 1 + 1.2 + 1.5 + 1.6 equals 5.3 hours. This matches the requirement of rounding to the nearest tenth and accurately reflects the total duration of the run.
B) 5.6
This option is incorrect as it does not accurately reflect the total time taken. If we add the segment times (1 + 1.2 + 1.5 + 1.6), the result is 5.3 hours, not 5.6 hours. Therefore, this option does not meet the criteria established by the problem.
C) 5.8
This option is also incorrect. The sum of the run times does not equal 5.8 hours; rather, it equals 5.3 hours. Thus, this answer does not align with the calculated total time for the completion of the course.
D) 6
This option is incorrect as well because it rounds up the total time inaccurately. The actual total time calculated is 5.3 hours, which does not justify rounding to 6 hours. Therefore, this option does not represent the correct completion time.
Conclusion
The correct answer is 5.3 hours, as it accurately sums the time taken for each segment of the run. All other options fail to represent the total time based on the provided calculations, demonstrating a misunderstanding of the rounding and summation required for this problem.