Two friends X and Y start running and they run together for 50 m in the same direction and reach a point. X…

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?
  1. 100 m
  2. 90 m
  3. 60 m
  4. 50 m

Solution

After running 50 m together they reach a point. X goes right 60 m then forward 50 m; Y goes left 40 m then forward 50 m. Both final 50 m legs are parallel and in the same direction, so the only separation is the horizontal distance: 60 m (X side) + 40 m (Y side) = 100 m. Hence they are 100 m apart.

Asked in: CSAT 2022

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