Final answer:
Wendy and Roger were 2 miles apart for approximately 13 minutes.
Step-by-step explanation:
To find out how long Wendy and Roger were 2 miles apart, we need to determine the time it takes for them to cover a total distance of 2 miles (since they are moving in opposite directions). Since Wendy's speed is 3 mph and Roger's speed is 6 mph, the total speed at which they are moving apart is 3+6= 9 mph. We can use the formula:
Time = Distance / Speed
Substituting the values, we get:
Time = 2 miles / 9 mph = 0.22 hours.
To convert hours to minutes, we multiply by 60:
0.22 hours x 60 minutes/hour = 13.2 minutes. Therefore, Wendy and Roger were 2 miles apart for approximately 13 minutes.