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A person travels 30 km at a speed of 10 km/h and then 20 km at a speed of 5 km/h

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Question: A person travels 30 km at a speed of 10 km/h and then 20 km at a speed of 5 km/h. What is the average speed for the entire journey?

Options:

  1. 6 km/h
  2. 7 km/h
  3. 8 km/h
  4. 9 km/h

Correct Answer: 7 km/h

Solution: 

Total distance = 30 km + 20 km = 50 km. Total time = (30/10) + (20/5) = 3 + 4 = 7 hours. Average speed = Total distance / Total time = 50 km / 7 h = 7.14 km/h.

A person travels 30 km at a speed of 10 km/h and then 20 km at a speed of 5 km/h

Practice Questions

Q1
A person travels 30 km at a speed of 10 km/h and then 20 km at a speed of 5 km/h. What is the average speed for the entire journey?
  1. 6 km/h
  2. 7 km/h
  3. 8 km/h
  4. 9 km/h

Questions & Step-by-Step Solutions

A person travels 30 km at a speed of 10 km/h and then 20 km at a speed of 5 km/h. What is the average speed for the entire journey?
  • Step 1: Calculate the total distance traveled. Add the two distances together: 30 km + 20 km.
  • Step 2: Calculate the total distance: 30 km + 20 km = 50 km.
  • Step 3: Calculate the time taken for the first part of the journey. Use the formula: time = distance / speed. For the first part, it's 30 km / 10 km/h.
  • Step 4: Calculate the time for the first part: 30 km / 10 km/h = 3 hours.
  • Step 5: Calculate the time taken for the second part of the journey. Use the same formula: time = distance / speed. For the second part, it's 20 km / 5 km/h.
  • Step 6: Calculate the time for the second part: 20 km / 5 km/h = 4 hours.
  • Step 7: Calculate the total time for the entire journey. Add the two times together: 3 hours + 4 hours.
  • Step 8: Calculate the total time: 3 hours + 4 hours = 7 hours.
  • Step 9: Calculate the average speed for the entire journey. Use the formula: average speed = total distance / total time.
  • Step 10: Calculate the average speed: 50 km / 7 hours = 7.14 km/h.
  • Average Speed Calculation – Understanding how to calculate average speed using total distance and total time.
  • Distance and Time Relationship – Applying the relationship between distance, speed, and time to find total time taken for different segments of a journey.
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