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

Ben's rate is
`(1)/(6)` greater than Kate's rate.

Explanation:

1. If it takes Ben 2 days to write reports, then his rate is
`(1)/(2)` of reports per day.

2. If it takes Kate 3 days to write reports, then her rate is
`(1)/(3)` of reports per day.

3. Ben's rate is

`(1)/(2)-(1)/(3)=(3-2)/(6)=(1)/(6)`

greater than Kate's rate.