Answer:
Ben's rate is [tex]\dfrac{1}{6}[/tex] greater than Kate's rate.
Step-by-step explanation:
1. If it takes Ben 2 days to write reports, then his rate is [tex]\dfrac{1}{2}[/tex] of reports per day.
2. If it takes Kate 3 days to write reports, then her rate is [tex]\dfrac{1}{3}[/tex] of reports per day.
3. Ben's rate is
[tex]\dfrac{1}{2}-\dfrac{1}{3}=\dfrac{3-2}{6}=\dfrac{1}{6}[/tex]
greater than Kate's rate.
