Alyssa can run 3.75 miles in 28 minutes. Sandra can run 4 4/5
miles in the same amount of time. In that timeframe, how many miles can the girls run all together?
The girls can run 8.55 miles together in that timeframe.
To find out how many miles the girls can run all together, we need to add up the distances each girl can run in the specified amount of time.
First, let's calculate Alyssa's running speed per minute:
Alyssa's distance: 3.75 miles
Alyssa's time: 28 minutes
Alyssa's running speed per minute = Distance / Time
Alyssa's running speed per minute = 3.75 miles / 28 minutes = 0.1339 miles/minute (rounded to four decimal places)
Next, let's calculate Sandra's running speed per minute:
Sandra's distance: 4 4/5 miles
Sandra's time: 28 minutes
To convert the mixed number to an improper fraction:
4 4/5 = (4 * 5 + 4) / 5 = 24/5
Sandra's running speed per minute = Distance / Time
Sandra's running speed per minute = 24/5 miles / 28 minutes = 0.8571 miles/minute (rounded to four decimal places)
Now, let's add up their speeds to find out how many miles they can run all together:
Total running speed per minute = Alyssa's running speed per minute + Sandra's running speed per minute
Total running speed per minute = 0.1339 miles/minute + 0.8571 miles/minute = 0.9910 miles/minute (rounded to four decimal places)
Finally, we need to multiply the total running speed per minute by the given time to find the total distance the girls can run all together:
Total distance = Total running speed per minute * Time
Total distance = 0.9910 miles/minute * 28 minutes = 27.748 miles (rounded to three decimal places)
Therefore, the girls can run all together for a distance of approximately 27.748 miles.
To find out how many miles the girls can run together in the same amount of time, we need to add the distances that Alyssa and Sandra can run separately.
First, let's convert the mixed number 4 4/5 to an improper fraction:
4 4/5 = (5 * 4 + 4) / 5 = 24/5
Now we have the distances:
Alyssa: 3.75 miles
Sandra: 24/5 miles
To add these distances, we need to find a common denominator for the fractions. The lowest common denominator for 5 and 1 is 5.
Converting 3.75 to a fraction with a denominator of 5:
3.75 = 3 75/100 = (3 * 100 + 75) / 100 = 375/100
Now we have:
Alyssa: 375/100 miles
Sandra: 24/5 miles
To add fractions, we need a common denominator. In this case, the common denominator is 100.
Adding the distances:
Alyssa + Sandra = (375/100) + (24/5)
= (375/100) + (24/5) * (20/20)
= 375/100 + 480/100
= (375 + 480)/100
= 855/100
So, the girls can run a total of 855/100 miles in the same amount of time.
To convert this fraction to a mixed number, we divide the numerator (855) by the denominator (100):
855 รท 100 = 8 remainder 55
Therefore, the girls can run a total of 8 55/100 miles together in the same amount of time.