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Physics · MOTION IN A STRAIGHT LINE

हिन्दी

A man walks on a straight road from his home to a market \( 2.5\text{ km} \) away at a speed of \( 5\text{ km/h} \). Finding the market closed, he instantly turns and walks back home at a speed of \( 7.5\text{ km/h} \). The average speed of the man over the entire journey (from \( 0 \) to \( 50\text{ min} \)) is:

  1. \( 5\text{ km/h} \)
  2. \( 6.25\text{ km/h} \)
  3. \( 0\text{ km/h} \)
  4. \( 6\text{ km/h} \)

Correct answer · Option 4

\( 6\text{ km/h} \)

Explanation

Time to market = \( 2.5/5 = 0.5\text{ h} = 30\text{ min} \). Time to return = \( 2.5/7.5 = 1/3\text{ h} = 20\text{ min} \). Total time = 50 min = \( 5/6\text{ h} \). Total distance = \( 2.5 + 2.5 = 5\text{ km} \). Average speed = \( \frac{5}{5/6} = 6\text{ km/h} \).

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