Final answer:
Two friends biking towards each other from 7 miles apart, one at 0.2 miles per minute and the other at 0.15 miles per minute, will meet after 20 minutes, which is at 8:20 am.
Step-by-step explanation:
The question involves calculating the time at which two friends, riding their bikes towards each other from 7 miles apart, will meet. One rides at a speed of 0.2 miles per minute, while the other travels at 0.15 miles per minute. To solve this, we need to add their speeds together, since they are moving towards each other, and calculate the time it will take to cover the 7-mile distance.
First, we combine the speeds of the two friends: 0.2 miles/minute + 0.15 miles/minute = 0.35 miles/minute. Then, we divide the total distance by their combined speed to find the time: 7 miles / 0.35 miles/minute = 20 minutes.
Since they start at 8:00 am, we add the 20 minutes to this time. Therefore, they will meet at 8:20 am.