an athlete can run 6 miles in 51 minutes. at this rate, approximately how far could the runner go in 1.5 hours
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10.6miles
To find out how far the runner could go in 1.5 hours, we first need to convert 1.5 hours to minutes.
Since there are 60 minutes in an hour, we can calculate:
1.5 hours * 60 minutes/hour = 90 minutes
Now, we can set up a proportion to determine the distance the athlete could run in 90 minutes:
6 miles/51 minutes = x miles/90 minutes
To solve for x, we can cross multiply:
51 minutes * x miles = 6 miles * 90 minutes
51x = 540
Now, divide both sides of the equation by 51 to solve for x:
x = 540/51
x ≈ 10.59 miles
Therefore, at the same rate, the runner could approximately go 10.59 miles in 1.5 hours.
To find the distance the athlete could run in 1.5 hours, we first need to determine their running pace, or how many miles they can run per minute. We can do this by dividing the total distance run by the total time taken.
For this question, the runner can run 6 miles in 51 minutes. To find the running pace, we divide the distance by the time:
Running Pace = Total Distance / Total Time
Running Pace = 6 miles / 51 minutes
Now, let's calculate the running pace.
Running Pace ≈ 0.1176 miles/minute (rounded to four decimal places)
Next, we can use the calculated running pace to determine the distance the runner could go in 1.5 hours.
Distance = Running Pace × Time
Distance = 0.1176 miles/minute × 90 minutes (1.5 hours in minutes)
Now, let's calculate the distance the runner could go in 1.5 hours.
Distance ≈ 10.5882 miles (rounded to four decimal places)
Therefore, at this running pace, the runner could go approximately 10.5882 miles in 1.5 hours.