Joe jogs 4.3 miles west before turning around and jogging 158
miles east. He walks half the remaining distance to his starting point before taking up jogging again.
Relative to his starting point, where did Joe stop walking?
Enter your answer as a simplified mixed number in the box.
To find where Joe stopped walking, we need to determine the total distance he jogged and the total distance he walked.
Joe jogged 4.3 miles west and then jogged 158 miles east, for a total of 4.3 + 158 = 162.3 miles jogged.
Since Joe walked half the remaining distance, we need to find half of the distance that remains after jogging 162.3 miles.
To find the remaining distance, we subtract the distance jogged from the total distance Joe traveled. Joe jogged 162.3 miles, so the remaining distance is 162.3 - 162.3 = 0 miles.
Since Joe walked half the remaining distance, he walked 0/2 = 0 miles.
Therefore, relative to his starting point, Joe didn't stop walking anywhere.
To determine where Joe stopped walking relative to his starting point, we need to calculate the distance he walked before starting to jog again.
First, we need to find the total distance Joe jogged. Joe initially jogged 4.3 miles west and then jogged 158 miles east. Therefore, the total distance Joe jogged is:
4.3 miles + 158 miles = 162.3 miles
Next, we need to find the remaining distance Joe had to walk. Since Joe walked half the remaining distance, we need to subtract the distance he jogged from the total distance of his movement:
162.3 miles - 158 miles = 4.3 miles
So Joe had to walk 4.3 miles before picking up jogging again.
Finally, we need to determine the point where Joe stopped walking relative to his starting point. Considering Joe initially jogged 4.3 miles west, we need to subtract the distance he walked from this initial position:
4.3 miles - 4.3 miles = 0 miles
Therefore, Joe stopped walking at the starting point. The simplified mixed number for this answer is 0.
To determine where Joe stopped walking relative to his starting point, we need to break down his movements step by step.
Step 1: Joe jogs 4.3 miles west.
Step 2: Joe turns around and jogs 158 miles east.
Step 3: Joe walks half the remaining distance to his starting point before jogging again.
To find the point where Joe stops walking, we can calculate it as follows:
1. Start with the total distance jogged eastward (158 miles) and subtract the distance jogged westward at the beginning (4.3 miles). This gives us: 158 - 4.3 = 153.7 miles.
2. Since Joe walks half the remaining distance before jogging again, we divide the distance calculated in step 1 by 2: 153.7 / 2 = 76.85 miles.
Therefore, Joe stopped walking at a point 76.85 miles eastward from his starting point.
To express this as a simplified mixed number, we convert the decimal part, 0.85, into a fraction. Since 0.85 is equivalent to 85/100 or 17/20, the mixed number becomes:
76 + 17/20 miles.
So, Joe stopped walking approximately 76 and 17/20 miles eastward from his starting point.