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A train travels from city X to city Y at a speed of 120 km/h and returns at a sp

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Question: A train travels from city X to city Y at a speed of 120 km/h and returns at a speed of 80 km/h. What is the average speed for the entire journey?

Options:

  1. 90 km/h
  2. 96 km/h
  3. 100 km/h
  4. 110 km/h

Correct Answer: 96 km/h

Solution: 

Average Speed = 2 * (Speed1 * Speed2) / (Speed1 + Speed2) = 2 * (120 * 80) / (120 + 80) = 96 km/h.

A train travels from city X to city Y at a speed of 120 km/h and returns at a sp

Practice Questions

Q1
A train travels from city X to city Y at a speed of 120 km/h and returns at a speed of 80 km/h. What is the average speed for the entire journey?
  1. 90 km/h
  2. 96 km/h
  3. 100 km/h
  4. 110 km/h

Questions & Step-by-Step Solutions

A train travels from city X to city Y at a speed of 120 km/h and returns at a speed of 80 km/h. What is the average speed for the entire journey?
  • Step 1: Identify the speeds for the two parts of the journey. The speed from city X to city Y is 120 km/h (Speed1) and the speed from city Y back to city X is 80 km/h (Speed2).
  • Step 2: Use the formula for average speed when the distances are the same: Average Speed = 2 * (Speed1 * Speed2) / (Speed1 + Speed2).
  • Step 3: Plug in the values into the formula: Average Speed = 2 * (120 * 80) / (120 + 80).
  • Step 4: Calculate the product of the speeds: 120 * 80 = 9600.
  • Step 5: Calculate the sum of the speeds: 120 + 80 = 200.
  • Step 6: Substitute these values back into the formula: Average Speed = 2 * 9600 / 200.
  • Step 7: Calculate 2 * 9600 = 19200.
  • Step 8: Divide 19200 by 200 to find the average speed: 19200 / 200 = 96 km/h.
  • Average Speed Calculation – The average speed for a round trip is calculated using the formula for two speeds, which accounts for the different speeds in each direction.
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