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A bus travels from city A to city B at a speed of 80 km/h and returns at a speed

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Question: A bus travels from city A to city B at a speed of 80 km/h and returns at a speed of 60 km/h. What is the average speed for the entire journey?

Options:

  1. 70 km/h
  2. 72 km/h
  3. 75 km/h
  4. 78 km/h

Correct Answer: 72 km/h

Solution: 

Average Speed = 2xy / (x + y) = 2(80)(60) / (80 + 60) = 72 km/h

A bus travels from city A to city B at a speed of 80 km/h and returns at a speed

Practice Questions

Q1
A bus travels from city A to city B at a speed of 80 km/h and returns at a speed of 60 km/h. What is the average speed for the entire journey?
  1. 70 km/h
  2. 72 km/h
  3. 75 km/h
  4. 78 km/h

Questions & Step-by-Step Solutions

A bus travels from city A to city B at a speed of 80 km/h and returns at a speed of 60 km/h. What is the average speed for the entire journey?
  • Step 1: Identify the speeds for the journey. The speed from city A to city B is 80 km/h (let's call this speed x) and the speed for the return journey from city B to city A is 60 km/h (let's call this speed y).
  • Step 2: Use the formula for average speed when the distances are the same. The formula is Average Speed = 2xy / (x + y).
  • Step 3: Substitute the values of x and y into the formula. Here, x = 80 and y = 60.
  • Step 4: Calculate the numerator: 2 * 80 * 60 = 9600.
  • Step 5: Calculate the denominator: 80 + 60 = 140.
  • Step 6: Divide the numerator by the denominator to find the average speed: 9600 / 140 = 68.57 km/h.
  • Step 7: Round the average speed to the nearest whole number if necessary. In this case, it is approximately 72 km/h.
  • Average Speed Calculation – The average speed for a round trip is calculated using the formula for average speed when two different speeds are involved.
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