Drag each pair of distances to show if A is the greater distance, B is the greater distance, or if you cannot know for sure which is greater.
A: 2/3 of a 40-yard dash
B: 2/3 of a 100-yard dash
A: 1/2 lap around a track
B: 1/2 lap around a school
A: 3/4 mile
B: 1/4 of a 1-mile track
Let’s analyze each pair of distances step by step:
1. A: 2/3 of a 40-yard dash
Calculation: (2/3) * 40 = 26.67 yards
B: 2/3 of a 100-yard dash
Calculation: (2/3) * 100 = 66.67 yards
Comparison: B is the greater distance.
2. A: 1/2 lap around a track
This will depend on the length of the track; however, let’s assume a standard track is 400 meters.
Calculation: (1/2) * 400 = 200 meters
B: 1/2 lap around a school
Without knowing the specific measurement of the school lap, we can’t determine this one definitively. So, we can’t say for sure which is greater.
3. A: 3/4 mile
Calculation: 3/4 mile = 1,320 yards (because 1 mile = 1,760 yards)
B: 1/4 of a 1-mile track
Calculation: (1/4) * 1,760 = 440 yards
Comparison: A is the greater distance.
To summarize:
1. B > A
2. Cannot know for sure
3. A > B
Feel