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 of 6 miles in 1.5 hours, and the fourth set of 6 miles 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 can add the time she spent on 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 final 6 miles. This gives a total of 5.3 hours.

A (5.3 hours) CORRECT

This choice correctly sums the individual times: 1 + 1.2 + 1.5 + 1.6 equals 5.3 hours. Thus, this option accurately reflects the total time taken by the woman to complete her 24-mile run.

B (5.4 hours) YOUR ANSWER

This option incorrectly suggests a total time of 5.4 hours. The sum of each segment's time does not reach this value, indicating a miscalculation. The correct total is 5.3 hours, making this option incorrect.

C (4 hours) YOUR ANSWER

This choice significantly underestimates the total time taken. The woman ran 24 miles, and even the minimum time calculated from her slowest pace exceeds 4 hours. Therefore, this option does not reflect the actual time taken.

D (5 hours) YOUR ANSWER

Although this choice is closer to the correct answer, it still does not account for the total time of 5.3 hours. The sum of her running times clearly exceeds 5 hours, making this option incorrect as well.

Conclusion

The total time taken by the woman to run the 24-mile course is accurately calculated as 5.3 hours, derived from the individual segment times. All other options either miscalculate or underestimate the total running time, reinforcing that the correct answer is indeed 5.3 hours.

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 of 6 miles in 1.5 hours, and the fourth set of 6 miles 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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