Study the following information to answer the given questions. Sam walked 5m…
2023
Study the following information to answer the given questions.
Sam walked 5m towards north from point A and reached point B. He took a right turn from point B and walked 7m and reached point C. He took a right turn from point and walked 10m to reach point D. He took another right turn from point D and walked 6m to reach point E. Sam took a right turn from point E and walked 5m to reach point F.
If a person walks in a straight line for 8 m towards west from point R, which of the following points would he cross first?
- A.
V
- B.
Q
- C.
T
- D.
S
Attempted by 34 students.
Show answer & explanation
Correct answer: D
Method to solve:
Step 1: Plot the path using coordinates. Place A at (0,0).
From A to B: 5 m north → B at (0,5).
From B to C: right turn (east) 7 m → C at (7,5).
From C to D: right turn (south) 10 m → D at (7,−5).
From D to E: right turn (west) 6 m → E at (1,−5).
From E to F: right turn (north) 5 m → F at (1,0).
Step 2: Use the diagram to locate R and the candidate points (V, Q, T, S) relative to these coordinates. To decide which point is crossed first when moving 8 m west from R, check which candidate:
lies exactly on the horizontal line (same y-coordinate) as R, and
has an x-coordinate that is between R’s x-coordinate and R’s x-coordinate minus 8 (i.e., within 8 m to the west).
Step 3: Compare each candidate point to R. The first point encountered while walking straight west is the one that meets both conditions above and is at the smallest westward distance from R.
Conclusion: S is the first point crossed. After plotting the path and placing R as shown in the diagram, S lies directly on the westward line from R and is within 8 m, whereas the other candidate points are either not on that westward line or are farther than 8 m. Therefore walking 8 m west from R reaches S before any other given point.