You and a friend are biking in opposite directions starting from the same point. You travel 108 feet every 8 seconds. Your friend travels 63 feet every 6 seconds.
How far apart are you and your friend after 15 minutes?
To find out how far apart you and your friend are after 15 minutes, we need to calculate the distance each of you has traveled during this time period.
First, let's calculate the distance you have traveled in 15 minutes. Since you travel 108 feet every 8 seconds, we need to convert 15 minutes into seconds. There are 60 seconds in a minute, so 15 minutes is equal to 15 * 60 = 900 seconds.
Now, we need to determine how many times 8 seconds goes into 900 seconds. Divide 900 by 8 to get the number of intervals of 8 seconds in 15 minutes: 900 / 8 = 112.5 intervals.
Since we can't have half of an interval, we will consider the 112th interval as the last complete interval. Multiply the distance traveled in 1 interval (108 feet) by the number of complete intervals (112): 112 * 108 = 12,096 feet.
So, you have traveled 12,096 feet in 15 minutes.
Now, let's calculate the distance your friend has traveled. Your friend travels 63 feet every 6 seconds, and there are 900 seconds in 15 minutes.
Divide 900 by 6 to find the number of intervals of 6 seconds in 15 minutes: 900 / 6 = 150 intervals.
Multiply the distance traveled in 1 interval (63 feet) by the number of intervals (150): 150 * 63 = 9,450 feet.
Therefore, your friend has traveled 9,450 feet in 15 minutes.
To find out how far apart you and your friend are, subtract the distance traveled by your friend from the distance you have traveled: 12,096 - 9,450 = 2,646 feet.
So, you and your friend are 2,646 feet apart after 15 minutes.
21,600
You:
108/8 = 13.5 feet a second
13.5 * 15 * 60 = 12,150 feet
Friend:
63/6 = 10.5 feet a second
10.5 * 15 * 60 = 9,450
12,150 + 9,450 = ?