Ruben and Claire are training to run a marathon in the spring. Ruben runs 16 miles over a 4-day period. Claire runs 12 miles over a 3-day period. Are they running at the same rate of speed? Respond "1" for yes or "2" for no.(1 point)
2
To determine if Ruben and Claire are running at the same rate of speed, we need to calculate their average speed.
Ruben ran 16 miles over 4 days, so his average speed can be found by dividing 16 miles by 4 days:
Ruben's average speed = 16 miles / 4 days = 4 miles per day
Claire ran 12 miles over 3 days, so her average speed can be found by dividing 12 miles by 3 days:
Claire's average speed = 12 miles / 3 days = 4 miles per day
Since Ruben's and Claire's average speeds are the same, they are indeed running at the same rate of speed.
Therefore, the answer is "1" for yes.
To determine if Ruben and Claire are running at the same rate of speed, we need to compare their average speeds. To do this, we divide the total miles covered by the number of days it took them to run those miles.
For Ruben:
Total miles = 16 miles
Total days = 4 days
Ruben's average speed = Total miles / Total days = 16 miles / 4 days = 4 miles per day
For Claire:
Total miles = 12 miles
Total days = 3 days
Claire's average speed = Total miles / Total days = 12 miles / 3 days = 4 miles per day
Since both Ruben and Claire have an average speed of 4 miles per day, they are indeed running at the same rate of speed.
Therefore, the answer is 1 for yes.