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A person travels 60 km at a speed of 20 km/h and then 40 km at a speed of 40 km/

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Question: A person travels 60 km at a speed of 20 km/h and then 40 km at a speed of 40 km/h. What is the average speed for the entire journey?

Options:

  1. 25 km/h
  2. 30 km/h
  3. 35 km/h
  4. 40 km/h

Correct Answer: 30 km/h

Solution: 

Total time = (60/20) + (40/40) = 3 + 1 = 4 hours. Total distance = 60 + 40 = 100 km. Average speed = Total distance / Total time = 100 km / 4 h = 25 km/h.

A person travels 60 km at a speed of 20 km/h and then 40 km at a speed of 40 km/

Practice Questions

Q1
A person travels 60 km at a speed of 20 km/h and then 40 km at a speed of 40 km/h. What is the average speed for the entire journey?
  1. 25 km/h
  2. 30 km/h
  3. 35 km/h
  4. 40 km/h

Questions & Step-by-Step Solutions

A person travels 60 km at a speed of 20 km/h and then 40 km at a speed of 40 km/h. What is the average speed for the entire journey?
  • Step 1: Calculate the time taken to travel the first part of the journey (60 km at 20 km/h). Use the formula: time = distance / speed. So, time = 60 km / 20 km/h = 3 hours.
  • Step 2: Calculate the time taken to travel the second part of the journey (40 km at 40 km/h). Use the same formula: time = distance / speed. So, time = 40 km / 40 km/h = 1 hour.
  • Step 3: Add the times from Step 1 and Step 2 to find the total time for the journey. Total time = 3 hours + 1 hour = 4 hours.
  • Step 4: Calculate the total distance traveled. Add the distances of both parts: Total distance = 60 km + 40 km = 100 km.
  • Step 5: Calculate the average speed for the entire journey. Use the formula: average speed = total distance / total time. So, average speed = 100 km / 4 hours = 25 km/h.
  • Average Speed Calculation – The average speed is calculated by dividing the total distance traveled by the total time taken.
  • Time and Distance Relationship – Understanding how to calculate time based on distance and speed is crucial for solving problems related to motion.
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