Farmer Bob is considering buying a new field that is next to one he already owns. The field he is considering is a perfect square. The fence along each side of this square field is made of old logs and is a third of a mile lone. If he can walk at a rate of three miles per hour, how long will it take him to inspect the fence all the way around this field?
4 * 1/3 = 4/3 mile is the perimeter. If he can walk at 3mph, then in 20 minutes, he can walk one mile. Another third of a mille would add almost another 7 minutes.
To find out how long it will take Farmer Bob to inspect the fence all the way around the square field, we need to determine the length of one side of the square.
Given that the total length of the fence is one-third of a mile, it can be divided equally into four sides of the square. Therefore, each side of the square is one-fourth of the total fence length.
Since each side of the square represents one-fourth of a third of a mile, we can calculate the length of one side of the square by dividing 1/3 by 4:
1/3 mile ÷ 4 = 1/12 mile
Now that we know the length of one side of the square is 1/12 mile, we can calculate how long it will take Farmer Bob to walk around the entire square field.
To do this, we need to find the total distance Bob will walk, which is equal to the perimeter of the square. Since a square has four sides of equal length, we can multiply the length of one side by 4:
1/12 mile * 4 = 1/3 mile
Hence, the total distance Farmer Bob will walk is 1/3 mile.
Given that Farmer Bob can walk at a rate of 3 miles per hour, we can find the time it takes him to walk the distance by dividing the total distance by his walking rate:
1/3 mile ÷ 3 miles per hour = 1/9 hour
Therefore, it will take Farmer Bob 1/9 of an hour (or approximately 6.67 minutes) to inspect the fence all the way around the square field.