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In a race, the average speed of a runner is 10 km/h. If he runs for 2 hours and

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Question: In a race, the average speed of a runner is 10 km/h. If he runs for 2 hours and then walks for 1 hour at 5 km/h, what is his average speed for the entire journey?

Options:

  1. 8 km/h
  2. 9 km/h
  3. 10 km/h
  4. 11 km/h

Correct Answer: 9 km/h

Solution: 

Distance covered while running = 10 km/h × 2 h = 20 km. Distance covered while walking = 5 km/h × 1 h = 5 km. Total distance = 25 km, total time = 3 h. Average speed = 25 km / 3 h = 8.33 km/h.

In a race, the average speed of a runner is 10 km/h. If he runs for 2 hours and

Practice Questions

Q1
In a race, the average speed of a runner is 10 km/h. If he runs for 2 hours and then walks for 1 hour at 5 km/h, what is his average speed for the entire journey?
  1. 8 km/h
  2. 9 km/h
  3. 10 km/h
  4. 11 km/h

Questions & Step-by-Step Solutions

In a race, the average speed of a runner is 10 km/h. If he runs for 2 hours and then walks for 1 hour at 5 km/h, what is his average speed for the entire journey?
  • Step 1: Identify the average speed of the runner while running, which is 10 km/h.
  • Step 2: Identify the time the runner spends running, which is 2 hours.
  • Step 3: Calculate the distance covered while running using the formula: Distance = Speed × Time. So, Distance = 10 km/h × 2 h = 20 km.
  • Step 4: Identify the average speed of the runner while walking, which is 5 km/h.
  • Step 5: Identify the time the runner spends walking, which is 1 hour.
  • Step 6: Calculate the distance covered while walking using the same formula: Distance = Speed × Time. So, Distance = 5 km/h × 1 h = 5 km.
  • Step 7: Add the distances from running and walking to find the total distance: Total Distance = 20 km + 5 km = 25 km.
  • Step 8: Add the total time spent running and walking to find the total time: Total Time = 2 h + 1 h = 3 h.
  • Step 9: Calculate the average speed for the entire journey using the formula: Average Speed = Total Distance / Total Time. So, Average Speed = 25 km / 3 h = 8.33 km/h.
  • Average Speed Calculation – Understanding how to calculate average speed based on total distance and total time.
  • Distance and Time Relationship – Applying the relationship between speed, distance, and time to find total distance and time for different segments of a journey.
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