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A train travels 120 km at a speed of 60 km/h and then 180 km at 90 km/h. What is

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Question: A train travels 120 km at a speed of 60 km/h and then 180 km at 90 km/h. What is the average speed for the entire journey? (2019)

Options:

  1. 72 km/h
  2. 75 km/h
  3. 80 km/h
  4. 85 km/h

Correct Answer: 80 km/h

Exam Year: 2019

Solution: 

Total time = (120/60) + (180/90) = 2 + 2 = 4 hours. Total distance = 120 + 180 = 300 km. Average speed = Total distance / Total time = 300/4 = 75 km/h.

A train travels 120 km at a speed of 60 km/h and then 180 km at 90 km/h. What is

Practice Questions

Q1
A train travels 120 km at a speed of 60 km/h and then 180 km at 90 km/h. What is the average speed for the entire journey? (2019)
  1. 72 km/h
  2. 75 km/h
  3. 80 km/h
  4. 85 km/h

Questions & Step-by-Step Solutions

A train travels 120 km at a speed of 60 km/h and then 180 km at 90 km/h. What is the average speed for the entire journey? (2019)
  • Step 1: Calculate the time taken to travel the first part of the journey (120 km at 60 km/h). Use the formula: time = distance / speed.
  • Step 2: For the first part, time = 120 km / 60 km/h = 2 hours.
  • Step 3: Calculate the time taken to travel the second part of the journey (180 km at 90 km/h).
  • Step 4: For the second part, time = 180 km / 90 km/h = 2 hours.
  • Step 5: Add the time taken for both parts to find the total time: Total time = 2 hours + 2 hours = 4 hours.
  • Step 6: Calculate the total distance traveled: Total distance = 120 km + 180 km = 300 km.
  • Step 7: Calculate the average speed using the formula: average speed = total distance / total time.
  • Step 8: Average speed = 300 km / 4 hours = 75 km/h.
  • Average Speed Calculation – The average speed is calculated by dividing the total distance traveled by the total time taken.
  • Distance and Time Relationship – Understanding how to calculate time based on distance and speed is crucial for solving problems involving average speed.
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