When a dog running around a rectangular park of length 10m and breadth 8m in 24sec. Find the velocity of the dog if he takes 2 rounds of that park.
Question
When a dog running around a rectangular park of length 10m and breadth 8m in 24sec. Find the velocity of the dog if he takes 2 rounds of that park.
Solution
Sure, let's solve this step by step.
Step 1: First, we need to find the perimeter of the rectangular park. The formula for the perimeter of a rectangle is 2*(length + breadth). So, the perimeter of the park is 2*(10m + 8m) = 36m.
Step 2: If the dog takes 2 rounds of the park, the total distance covered by the dog is 2 * perimeter of the park = 2 * 36m = 72m.
Step 3: The velocity of the dog is the total distance covered divided by the time taken. The dog covers 72m in 24 seconds. So, the velocity of the dog is 72m / 24s = 3m/s.
So, the velocity of the dog is 3m/s.
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