sally and her husband jim left their house at the same time traveling in the same dirrection. sally drove at 55mph and jim drove at 65mph. how many hours was it before jim was 100 miles ahead of sally?
To find out how many hours it took for Jim to be 100 miles ahead of Sally, we need to set up an equation using the distance formula:
Distance = Rate x Time
Let t be the time it took for Jim to be 100 miles ahead of Sally.
For Jim:
Distance = 65t miles
For Sally:
Distance = 55t + 100 miles (since Jim needs to be 100 miles ahead of Sally)
Since both traveled the same distance, we can set up the equation:
65t = 55t + 100
Solving for t:
65t - 55t = 100
10t = 100
t = 10
Therefore, it took Jim 10 hours to be 100 miles ahead of Sally.