Final answer:
To find out how long it takes to run 11.1 km at 7.6 mi/hr, convert kilometers to miles, calculate the time in hours, and then convert to minutes. Approximately 54.5 minutes are needed, but 56.4 minutes is the closest given option.
Step-by-step explanation:
To calculate how long the runner must run to cover 11.1 km at a pace of 7.6 mi/hr, we must first convert the distance into miles, since the pace is given in miles per hour. There are 1.60934 kilometers in a mile. Therefore, 11.1 km is the same as 11.1 km ÷ 1.60934 km/mi = 6.900 miles (rounded to three decimal places).
Next, we can use the formula time = distance ÷ speed to calculate the time it takes to run 6.900 miles at a speed of 7.6 mi/hr. The time in hours is therefore 6.900 miles ÷ 7.6 mi/hr = 0.908 hours.
To convert hours into minutes, we multiply by 60 minutes per hour: 0.908 hours × 60 minutes/hour = 54.48 minutes. Answer choice B, 69.6 minutes, is a bit higher than the calculated value, so that seems incorrect. It appears that there is a miscalculation in the question, as none of the answer choices match precisely. Based on the given pace and distance, the runner would need to run approximately 54.5 minutes to cover 11.1 kilometers. However, if rounding to the nearest solution provided, 56.4 minutes (which is closest to our answer) would be the most accurate choice.