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Karan walks 15 meters East, turns right and walks 20 meters, turns left and walks 10 meters, and finally turns right and walks 15 meters. What is the total distance walked by Karan?
60 meters
50 meters
70 meters
55 meters
60 meters
Total distance is simply the arithmetic sum of all individual segments regardless of the direction walked.
Total distance is simply the arithmetic sum of all individual segments regardless of the direction walked.
Segment Tracking
Karan walks 15 meters (East), then 20 meters (South), then 10 meters (East), and finally 15 meters (South).
Mathematical Calculation
Total distance = 15 + 20 + 10 + 15. Summing these values gives 15 + 20 = 35, 35 + 10 = 45, and 45 + 15 = 60 meters.
B: 50 is incorrect as it ignores the final 10-meter segment. C: 70 is incorrect as it miscalculates the sum of segments. D: 55 is incorrect because it lacks 5 meters of the actual total walked distance.
A is correct because the total distance walked is the sum of every individual segment covered: 15 + 20 + 10 + 15 = 60 meters.
Always distinguish between total distance (scalar) and displacement (vector). Total distance is always the sum of all movements, while displacement requires calculating the straight-line distance from the starting point.
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