Answer:
It took them 7 hours before they were 875 miles apart.
Explanation:
To find out how many hours it took for Ed and Julie to be 875 miles apart, use the formula:
Distance = Rate × Time
Since they are traveling in opposite directions, add their distances to get the total distance they traveled apart.
For Ed:
Distance_Ed = Rate_Ed × Time
For Julie:
Distance_Julie = Rate_Julie × Time
The total distance they traveled apart is the sum of their distances:
Total Distance = Distance_Ed + Distance_Julie
Given:
Rate_Ed = 60 mph
Rate_Julie = 65 mph
Total Distance = 875 miles
Set up the equation and solve for time:
Total Distance = Distance_Ed + Distance_Julie
875 = 60 × Time + 65 × Time
Combine the like terms:
875 = 125 × Time
Solve for Time:
Time = 875 / 125
Time = 7
It took them 7 hours before they were 875 miles apart.