Final answer:
Paige mows 2/3 of an acre per hour, calculated by multiplying (1/6) acre by the reciprocal of (1/4) hour.
Step-by-step explanation:
If Paige mows 1/6 acre in 1/4 hour, to find out how many acres Paige can mow per hour, we need to determine the rate by dividing the amount of land mowed by the time it took.
To calculate the acres Paige mows per hour, we set up a proportion:
Number of acres mowed / Number of hours = x acres mowed per hour (where x is what we're trying to find)
- 1/6 acre in 1/4 hour can be expressed as (1/6) /(1/4).
- To find acres per hour, we divide (1/6) by (1/4).
- Multiplying (1/6) by the reciprocal of (1/4) which is 4/1, we get (1/6) * (4/1) = 4/6.
- Simplifying 4/6 gives us 2/3 of an acre per hour.
So, Paige mows 2/3 of an acre per hour.