parade route is
3
4
mile long. There will be a refreshment stand at the beginning and end of the route. There will also be 8 refreshment stands along the route. All the refreshment stands are equally-spaced apart. How far apart are the refreshment stands in feet? Draw a diagram to help you answer the question. Be sure to count the number of gaps between the refreshment stands.
Use the drop-down menu to complete the answer.
The refreshment stands are
Choose...
feet apart.
To solve this problem, we need to use a bit of division.
First, we need to convert the length of the parade route from miles to feet, since we're looking for the distance between the refreshment stands in feet.
3 miles = 3 x 5280 = 15,840 feet
Next, we need to subtract the length of the two sections that already have refreshment stands (beginning and end):
15,840 - 2(1/8 x 15,840) = 13,860 feet (Note: we're using 1/8 since there are 8 equally-spaced refreshment stands in total, including the ones at the beginning and end)
Now we can divide the remaining distance by the number of gaps between the refreshment stands. Since there are 8 refreshment stands in total, but 2 of them are already accounted for, there are 6 gaps between them:
13,860 / 6 = 2,310 feet
So the refreshment stands are 2,310 feet apart.
Diagram:
Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand --- 2,310 ft --- Refreshment stand
To find out how far apart the refreshment stands are in feet, we need to first convert the parade route length from miles to feet.
We know that there are 8 refreshment stands along the parade route, including the ones at the beginning and end. This means there are 8 gaps or spaces between the refreshment stands.
Let's calculate the length of the parade route in feet:
Parade route length = 3 miles x 5280 feet/mile = 15840 feet
To find out the distance between each refreshment stand, we divide the length of the parade route by the number of gaps:
Distance between refreshment stands = Parade route length / Number of gaps
Distance between refreshment stands = 15840 feet / 8 gaps = 1980 feet
Therefore, the refreshment stands are 1980 feet apart.
Please refer to the diagram below to visualize the placement of the refreshment stands and the gaps:
1st Refreshment Stand --- 1980 ft --- 2nd Refreshment Stand --- 1980 ft --- 3rd Refreshment Stand --- 1980 ft --- 4th Refreshment Stand --- 1980 ft ---
5th Refreshment Stand --- 1980 ft --- 6th Refreshment Stand --- 1980 ft --- 7th Refreshment Stand --- 1980 ft --- 8th Refreshment Stand --- 1980 ft --- End of Parade Route