Finding final distance between two friends after running in different directions
Question
Two friends X and Y start running and they run together for 50 m in the same direction and reach a point. X turns right and runs 60 m, while Y turns left and runs 40 m. Then X turns left and runs 50 m and stops, while Y turns right and runs 50 m and then stops. How far are the two friends from each other now?
Options
100 m
90 m
60 m
50 m
Explanation
Map the coordinates of both runners on a Cartesian plane. Let them start at (0,0) and run North (along the Y-axis). Initial run: Both reach (0, 50).
Track X:
Track Y:
Both runners end up on the exact same latitude line (⟨MATH⟩Y = 100⟨/MATH⟩). The distance between them is the absolute horizontal difference along the X-axis: Distance = 60 - (-40) = 100 meters.
Answer: (a).
Question details
Year
2022
Paper
CSAT
Question
Q6
Section
Logical & Analytical Reasoning
Sub-topic
Direction & Distance
Type
Factual single
Difficulty
Medium
Source hint
Two friends X and Y running on a track
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