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.)

Rationale

It will take the young adult 5.3 hours to complete the run.

To find the total time taken to run 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, resulting in a total of 5.3 hours.

A (5.3) CORRECT

This choice correctly adds the times for each segment: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, this is the accurate total time for the young adult to complete the 24-mile course.

B (5.6) YOUR ANSWER

This choice incorrectly represents the sum of the segment times. If we mistakenly added one of the segment times incorrectly or omitted a part of the calculation, one might arrive at 5.6 hours. However, the correct addition clearly shows that the total time is 5.3 hours.

C (5.8) YOUR ANSWER

Choosing 5.8 hours suggests a miscalculation as it exceeds the actual total time derived from the segment calculations. It's likely that an incorrect addition or misunderstanding of the problem occurred, leading to an inflated estimate.

D (6) YOUR ANSWER

This option rounds up the total time incorrectly. While 6 hours might seem reasonable, it overshoots the precise total of 5.3 hours calculated from the time segments. Rounding should not apply here, as the exact sum is already less than 6 hours.

Conclusion

The total time required for the young adult to run the 24-mile course is accurately calculated as 5.3 hours by summing the individual segment times. All other options reflect miscalculations or incorrect assumptions about the total duration, underscoring the importance of careful addition in solving such problems.

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.)

It will take the young adult 5.3 hours to complete the run.

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