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Average Speed Given Two Speeds

Average Speed Formula:

\[ AS = \frac{2 \times S1 \times S2}{S1 + S2} \]

mph
mph

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1. What is the Average Speed Calculator?

Definition: This calculator computes the harmonic mean (average) speed when given two different speeds for equal distances.

Purpose: It helps determine the true average speed when traveling equal distances at different speeds.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ AS = \frac{2 \times S1 \times S2}{S1 + S2} \]

Where:

Explanation: This harmonic mean formula accounts for the fact that you spend more time traveling at the slower speed.

3. Importance of Average Speed Calculation

Details: Proper average speed calculation helps in trip planning, fuel estimation, and understanding true travel times.

4. Using the Calculator

Tips: Enter both speeds in mph. Both values must be > 0. The result shows the true average speed for the entire trip.

5. Frequently Asked Questions (FAQ)

Q1: Why not just average the two speeds?
A: A simple arithmetic average would be incorrect because you spend more time traveling at the slower speed.

Q2: Does this work for unequal distances?
A: No, this formula only works when equal distances are traveled at each speed.

Q3: What if one speed is zero?
A: The formula breaks down (division by zero) since you can't have meaningful average speed with zero movement.

Q4: Can I use different units (km/h)?
A: Yes, as long as both speeds use the same units, the result will be in those units.

Q5: When is this calculation most useful?
A: For round trips where you travel different speeds in each direction, or any scenario with equal distances at different speeds.

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