A student walks 50m West, heads 100m South, 50m East, and finally 100m North. How much distance does he travel?
Understand the Problem
The question asks for the total distance traveled by a student who walks in several directions with specified distances. We need to sum up the distances walked in each direction to find the total distance.
Answer
The total distance traveled is \(300\,m\).
Answer for screen readers
The total distance traveled by the student is (300,m).
Steps to Solve
- Identify Distances Walked The student walks the following distances in different directions:
- 50 m West
- 100 m South
- 50 m East
- 100 m North
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Sum Up the Distances To find the total distance traveled, we simply add all the distances together: $$ \text{Total Distance} = 50,m + 100,m + 50,m + 100,m $$
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Calculate the Total Distance Now, performing the addition: $$ \text{Total Distance} = 50 + 100 + 50 + 100 = 300,m $$
The total distance traveled by the student is (300,m).
More Information
The student walked a total of four segments in different directions. Adding up the distances, regardless of direction, gives the total distance traveled. This is a straightforward example of distance measurement in geometry.
Tips
- Confusing distance with displacement: Distance is the total length traveled, while displacement considers direction and is the shortest path from the starting point to the endpoint.
- Incorrect addition: Be careful to add all distances together without skipping any.
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