Final answer:
Jerry will take 1/6 of an hour to mow the entire yard.
Step-by-step explanation:
To find how much time it will take Jerry to mow the entire yard, we need to determine how much time it takes him to mow 1/20 of the yard. We know that it takes him 1/6 of an hour to mow 3/20 of the yard.
To find how much time it takes him to mow 1/20 of the yard, we can set up a proportion:
1/6 hour = 3/20 yard
x hour = 1/20 yard
Cross multiplying, we get:
1/6 * (1/20) = 3/20x
Simplifying, we get:
1/120 = 3/20x
Dividing both sides by 3/20, we get:
(1/120) / (3/20) = x
This simplifies to:
1/6 = x
Therefore, it will take Jerry 1/6 of an hour to mow the entire yard.