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?

Let's trace the path of X and Y step-by-step, assuming they start at a common point (0,0) and initially run North. 1. Initial run: Both X and Y run 50 m in the same direction. Let their starting point be (0,0). After running 50m (say, North), they reach point P (0, 50). 2. X's path: a. From P (0, 50), X turns right (East) and runs 60 m. X is now at (60, 50). b. Then X turns left. Since X was running East, turning left means turning North. X runs 50 m North. X's final position is (60, 50 + 50) = (60, 100). 3. Y's path: a. From P (0, 50), Y turns left (West) and runs 40 m. Y is now at (-40, 50). b. Then Y turns right. Since Y was running West, turning right means turning North. Y runs 50 m North. Y's final position is (-40, 50 + 50) = (-40, 100). 4. Distance between them: X is at (60, 100) and Y is at (-40, 100). Both friends are at the same North-South coordinate (100). The distance between them is purely horizontal (East-West). Distance = |60 - (-40)| = |60 + 40| = 100 m. Therefore, the two friends are 100 m apart. Option A) 100 m: This matches our calculated distance. Option B) 90 m: Incorrect. Option C) 60 m: Incorrect. Option D) 50 m: Incorrect. The final answer is A.