A train travels from City A to City B at a speed of 75 km/h and returns at 90 km

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Question: A train travels from City A to City B at a speed of 75 km/h and returns at 90 km/h. What is the average speed for the entire journey?

Options:

Correct Answer: 82.5 km/h

Solution:

Average Speed = 2 * (Speed1 * Speed2) / (Speed1 + Speed2) = 2 * (75 * 90) / (75 + 90) = 82.5 km/h.

A train travels from City A to City B at a speed of 75 km/h and returns at 90 km/h. What is the average speed for the entire journey?

A train travels from City A to City B at a speed of 75 km/h and returns at 90 km/h. What is the average speed for the entire journey?

Step 1: Identify the speeds for each part of the journey. The speed from City A to City B is 75 km/h and the speed from City B back to City A is 90 km/h.
Step 2: Use the formula for average speed when the distances are the same: Average Speed = 2 * (Speed1 * Speed2) / (Speed1 + Speed2).
Step 3: Substitute the speeds into the formula: Average Speed = 2 * (75 * 90) / (75 + 90).
Step 4: Calculate the product of the speeds: 75 * 90 = 6750.
Step 5: Calculate the sum of the speeds: 75 + 90 = 165.
Step 6: Substitute these values back into the formula: Average Speed = 2 * 6750 / 165.
Step 7: Calculate 2 * 6750 = 13500.
Step 8: Divide 13500 by 165 to find the average speed: 13500 / 165 = 81.8181... km/h.
Step 9: Round the average speed to one decimal place: 82.5 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.