Jeremiah is mowing the lawn which is 2 acres he has mowed 1/4 of a acre in 1/12 of a hour when he was done he had to mow the neighbor's yard which is 1 acre if he can continue at the same rate what is the unit rate for the number of acres can he. mow
1/4 of a acre in 1/12 of a hour
1/4 * 4 = 1 acre in 4/12 = 1/3 hour
To find the unit rate for the number of acres Jeremiah can mow, we need to determine how many acres he can mow in one hour.
First, let's find how many acres Jeremiah mows in 1/12 of an hour:
Jeremiah mows 1/4 of an acre in 1/12 of an hour.
To find out how much Jeremiah mows in one hour, we can multiply the amount he mows in 1/12 of an hour by 12 (since there are 12 "1/12 of an hour" in one hour):
(1/4 acre) * 12 = 3 acres
So, Jeremiah can mow 3 acres in one hour.
Now, if Jeremiah can continue at the same rate, we need to find how long it will take him to mow 1 acre (the neighbor's yard).
Using the unit rate we found, we can set up a proportion to solve for the time it would take to mow 1 acre:
(3 acres / 1 hour) = (1 acre / x hours)
Cross-multiplying and solving for x gives us:
3 * x = 1 * 1
3x = 1
x = 1/3
Therefore, Jeremiah can mow 1 acre in 1/3 of an hour or 20 minutes.
So, the unit rate for the number of acres Jeremiah can mow is 3 acres per hour.