Question:
What is the position of T with respect to point U if both are in straight line?
What is the position of T with respect to point U if both are in straight line?
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For relative positions in straight line problems, break the path into components (north-south, east-west) and find the difference in distances in the respective directions.
Updated On: Aug 18, 2026
- 10 km to the south
- 7 km to the west
- 10 km to the west
10 km to the east
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The Correct Option is C
Approach Solution - 1
Now that we have calculated the distances traveled by both Ankit and Rahman, we need to determine the relative position of T with respect to U in a straight line. - Ankit's East-West Position: Ankit's total movement in the east direction is 3 km (right turn) + 7 km (right turn) = 10 km east. - Rahman's East-West Position: Rahman's total movement in the east direction is 4 km (left turn) - 2 km (west turn) = 2 km east. Therefore, the relative position of T to U in the east-west direction is: \[ \text{Position} = 10 \, \text{km east} - 2 \, \text{km east} = 8 \, \text{km east}. \] Now, if the directions are considered, point T will be 10 km to the west of point U in the east-west direction. Thus, the correct answer is (c) 10 km to the west.
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Approach Solution -2
We can find the position of T relative to U using only Ankit's route, since north-south and east-west movements can be tracked independently.
- Option A (10 km to the south): Ankit's north-south legs are 2 km north, 3 km north and 5 km south, which net to 2+3-5 = 0 — there is no net north-south displacement at all, so this option is wrong.
- Option B (7 km to the west): Ankit's east-west legs are 3 km east and 7 km east, netting to 10 km east, not 7 km, so this option is wrong.
- Option C (10 km to the west): Since U lies 10 km east of T (from the net east-west displacement) and there is no net north-south offset, T must lie exactly 10 km to the west of U — this matches.
- Option D (10 km to the east): The direction is reversed; it is T that lies west of U, not east, so this option is wrong.
The net displacement from T to U is purely 10 km eastward, so T sits 10 km west of U.
Hence, the correct answer is 10 km to the west.
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