Two friends Sanjay and Vijay start running from the same place. Sanjay runs 65…
2022
Two friends Sanjay and Vijay start running from the same place. Sanjay runs 65 m towards the west, then turns left and runs 25 m. In the meanwhile, Vijay runs 20 m towards the north, then turns to his right and runs 35 m, then turns towards the north and runs 45 m. Finally, Vijay takes a left turn and runs 100 m before stopping. What is the minimum distance between Sanjay and Vijay?
- A.
90 m
- B.
80 m
- C.
100 m
- D.
85 m
Attempted by 65 students.
Show answer & explanation
Correct answer: A
Step 1: Find Sanjay's final position.
Assume the starting point is at the origin (0, 0).
Sanjay runs 65m West (x = -65) and then turns left (South) to run 25m (y = -25).
Sanjay's coordinates: (-65, -25).
Step 2: Find Vijay's final position.
Vijay runs 20m North (y = +20).
Turns right (East) and runs 35m (x = +35).
Turns North and runs 45m (y = 20 + 45 = +65).
Takes a left turn (West) and runs 100m (x = 35 - 100 = -65).
Vijay's coordinates: (-65, 65).
Step 3: Calculate the minimum distance.
Since both have the same X-coordinate (-65), they are on the same vertical line. The minimum distance is the absolute difference between their Y-coordinates:
Distance = 65 - (-25) = 65 + 25 = 90 meters.
Final Answer: Option 1