Paula ran
3
1
4
kilometers. Omar ran
4,200
meters.
Who ran farther and by how much?
A.
Omar ran 950 meters farther than Paula.
B.
Paula ran 950 meters farther than Omar.
C.
Omar ran 3,875 meters farther than Paula.
D.
Paula ran 3,875 meters farther than Omar.
A. Omar ran 950 meters farther than Paula.
To compare the distances, we need to convert both to the same unit. We can convert Paula's distance of 3 + 1/4 kilometers to meters by multiplying by 1000:
3 + 1/4 = 3.25 kilometers
3.25 kilometers x 1000 = 3250 meters
So, Paula ran 3250 meters.
Since Omar ran 4200 meters, we can find the difference between the two distances:
4200 − 3250 = 950
Therefore, option A is correct. Omar ran 950 meters farther than Paula.
To compare the distances traveled by Paula and Omar, we need to convert their distances to the same unit. We can convert Paula's distance from kilometers to meters by multiplying it by 1,000.
Paula's distance: 3 + 1 + 4 = 8 kilometers = 8,000 meters
Omar's distance: 4,200 meters
To find out who ran farther and by how much, we subtract Paula's distance from Omar's distance:
Omar's distance - Paula's distance = 4,200 meters - 8,000 meters
This gives us -3,800 meters. However, distances cannot be negative, so we need to take the absolute value of this difference:
| -3,800 meters | = 3,800 meters
Therefore, the correct answer is:
C. Omar ran 3,875 meters farther than Paula.