A woman ran a 24-mile course. She ran the first 6 miles in 1 hour, the second set of 6 miles in 1.2 hours, the third set in 1.5 hours, and the fourth set in 1.6 hours. How long did it take her to complete the course?

Rationale

It took her 5.3 hours to complete the course.

To find the total time taken by the woman to run the 24-mile course, we need to sum the times for each segment: 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, which totals 5.3 hours.

A (5.3 hours) CORRECT

This choice is the correct total time calculated by adding the individual segment times: 1 + 1.2 + 1.5 + 1.6 equals 5.3 hours. Therefore, this answer accurately reflects the total duration of the woman's run.

B (5.4 hours) YOUR ANSWER

This option inaccurately represents the total time, as it suggests a calculation error. The total time based on the provided segment times does not reach 5.4 hours, indicating a miscalculation in summing the segments.

C (4 hours) YOUR ANSWER

Choosing 4 hours significantly underestimates the total time needed to complete the 24-mile course. Given the individual segment times, it is impossible for her to have finished in just 4 hours, as this does not account for the longer times in the latter segments.

D (5 hours) YOUR ANSWER

This choice is also incorrect, as it falls short of the actual total time of 5.3 hours. Like option B, it reflects a failure to accurately sum the time taken for each segment of the run.

Conclusion

The total time taken by the woman to complete the 24-mile course is correctly calculated to be 5.3 hours. Each segment's time must be carefully summed to avoid miscalculations. Understanding the importance of accurate addition in such problems is essential, as it directly impacts the assessment of performance over the entire distance.

A woman ran a 24-mile course. She ran the first 6 miles in 1 hour, the second set of 6 miles in 1.2 hours, the third set in 1.5 hours, and the fourth set in 1.6 hours. How long did it take her to complete the course?

It took her 5.3 hours to complete the course.

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