Question 2 of 11intermediate🔧 ApplyNumerical3 marks

A runner completes 400 metres in 50 seconds. Another runner completes the same distance in 45 seconds. Who has a greater speed and by how much?

Correct Answer

The second runner has a greater speed by approximately 0.89 m/s.

Runner 1 has a speed of 8 m/s while Runner 2 has a speed of approximately 8.89 m/s.

Speed is calculated as distance divided by time. When comparing speeds, the object covering the same distance in less time has a higher speed.

The difference in speeds can be calculated by subtracting the smaller speed from the larger one.

Exercise: Let Us Enhance Our Learning | Q: 2 | (Page Page 14)
For More Understanding

Explanation

The chapter states that speed is calculated as distance divided by time. When comparing speeds, the object covering the same distance in less time has a higher speed. The difference in speeds can be calculated by subtracting the smaller speed from the larger one.

Solution Steps

  1. Step 1: Calculate speed of Runner 1: Speed₁ = Distance/Time = 400 m / 50 s = 8 m/s

  2. Step 2: Calculate speed of Runner 2: Speed₂ = Distance/Time = 400 m / 45 s = 8.89 m/s (approximately)

  3. Step 3: Compare speeds: Runner 2 is faster because 8.89 m/s > 8 m/s

  4. Step 4: Calculate difference: 8.89 - 8 = 0.89 m/s

  5. Step 5: Final answer: Runner 2 has greater speed by 0.89 m/s

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