Question

It takes Ben 2 days to write reports, and it takes Kate 3 days to write reports. Bens rate, in reports per day, is how much greater than Kate’s rate?

Answer 1

Answer:

Ben's rate is $\dfrac{1}{6}$ greater than Kate's rate.

Step-by-step explanation:

1. If it takes Ben 2 days to write reports, then his rate is $\dfrac{1}{2}$ of reports per day.

2. If it takes Kate 3 days to write reports, then her rate is $\dfrac{1}{3}$ of reports per day.

3. Ben's rate is

$\dfrac{1}{2}-\dfrac{1}{3}=\dfrac{3-2}{6}=\dfrac{1}{6}$

greater than Kate's rate.