William recently started running after school. Yesterday, he ran 4.8 miles in 41 minutes and 6 seconds. Today, he ran 4.1 miles in 33 minutes and 4 seconds. What was William's average speed over the two runs?Write your answer as a whole number, a decimal, or a simplified fraction or mixed number. Do not round.____ miles per minute
Q. William recently started running after school. Yesterday, he ran 4.8 miles in 41 minutes and 6 seconds. Today, he ran 4.1 miles in 33 minutes and 4 seconds. What was William's average speed over the two runs?Write your answer as a whole number, a decimal, or a simplified fraction or mixed number. Do not round.____ miles per minute
Convert time to minutes: First, we need to convert the time for each run from minutes and seconds to just minutes to make the calculations easier.For the first run: 41 minutes and 6 seconds can be converted to minutes by adding the seconds converted to minutes to the total minutes.41 minutes + (6 seconds \/ 60 seconds/minute) = 41 minutes + 0.1 minutes = 41.1 minutes.
Calculate speed for first run: For the second run: 33 minutes and 4 seconds can be converted to minutes in the same way.33 minutes + rac{4 \text{ seconds}}{60 \text{ seconds/minute}} = 33 minutes + 0.0667 minutes ≈33.07 minutes (rounded to two decimal places for ease of calculation).
Calculate speed for second run: Now, we calculate the speed for each run using the formula Speed=TimeDistance. First run speed = 41.1 minutes4.8 miles.
Calculate average speed: Perform the calculation for the first run speed.First run speed ≈41.1 minutes4.8 miles≈0.1168 miles per minute (rounded to four decimal places for precision in the final average).
Calculate average speed: Perform the calculation for the first run speed.First run speed ≈4.8 miles ÷41.1 minutes ≈0.1168 miles per minute (rounded to four decimal places for precision in the final average).Next, calculate the speed for the second run using the same formula.Second run speed = 4.1 miles ÷33.07 minutes.
Calculate average speed: Perform the calculation for the first run speed.First run speed ≈41.1 minutes4.8 miles≈0.1168 miles per minute (rounded to four decimal places for precision in the final average).Next, calculate the speed for the second run using the same formula.Second run speed =33.07 minutes4.1 miles.Perform the calculation for the second run speed.Second run speed ≈33.07 minutes4.1 miles≈0.1240 miles per minute (rounded to four decimal places for precision in the final average).
Calculate average speed: Perform the calculation for the first run speed.First run speed ≈41.1 minutes4.8 miles≈0.1168 miles per minute (rounded to four decimal places for precision in the final average).Next, calculate the speed for the second run using the same formula.Second run speed =33.07 minutes4.1 miles.Perform the calculation for the second run speed.Second run speed ≈33.07 minutes4.1 miles≈0.1240 miles per minute (rounded to four decimal places for precision in the final average).Finally, calculate the average speed over the two runs by taking the sum of the speeds and dividing by 2.Average speed =2(First run speed+Second run speed).
Calculate average speed: Perform the calculation for the first run speed.First run speed ≈41.1 minutes4.8 miles≈0.1168 miles per minute (rounded to four decimal places for precision in the final average).Next, calculate the speed for the second run using the same formula.Second run speed =33.07 minutes4.1 miles.Perform the calculation for the second run speed.Second run speed ≈33.07 minutes4.1 miles≈0.1240 miles per minute (rounded to four decimal places for precision in the final average).Finally, calculate the average speed over the two runs by taking the sum of the speeds and dividing by 2.Average speed =2First run speed+Second run speed.Perform the calculation for the average speed.Average speed ≈20.1168 miles per minute+0.1240 miles per minute≈20.2408 miles per minute≈0.1204 miles per minute.
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