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Weighted Average of Different Trains at Different Speeds Formula

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Weighted Average Speed is a speed that takes into account the varying speeds of different trains. Check FAQs

W Avg = \frac{n 1 \cdot V 1 + n 2 \cdot V 2 + n 3 \cdot V 3 + n 4 \cdot V 4}{n 1 + n 2 + n 3 + n 4}

W_Avg - Weighted Average Speed?n₁ - Number of Trains with Speed 1?V₁ - Speed of Trains Moving with Same Speed 1?n₂ - Number of Trains with Speed 2?V₂ - Speed of Trains Moving with Same Speed 2?n₃ - Number of Trains with Speed 3?V₃ - Speed of Trains Moving with Same Speed 3?n₄ - Number of Trains with Speed 4?V₄ - Speed of Trains Moving with Same Speed 4?

Weighted Average of Different Trains at Different Speeds Example

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Here is how the Weighted Average of Different Trains at Different Speeds equation looks like with Values.

Here is how the Weighted Average of Different Trains at Different Speeds equation looks like with Units.

Here is how the Weighted Average of Different Trains at Different Speeds equation looks like.

58.8889 = \frac{16 \cdot 50 + 11 \cdot 60 + 6 \cdot 70 + 3 \cdot 80}{16 + 11 + 6 + 3}

58.8889km/h = \frac{16 \cdot 50km/h + 11 \cdot 60km/h + 6 \cdot 70km/h + 3 \cdot 80km/h}{16 + 11 + 6 + 3}

58.8889 = \frac{16 \cdot 50 + 11 \cdot 60 + 6 \cdot 70 + 3 \cdot 80}{16 + 11 + 6 + 3}

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Weighted Average of Different Trains at Different Speeds Solution

Follow our step by step solution on how to calculate Weighted Average of Different Trains at Different Speeds?

FIRST Step Consider the formula

W Avg = \frac{n 1 \cdot V 1 + n 2 \cdot V 2 + n 3 \cdot V 3 + n 4 \cdot V 4}{n 1 + n 2 + n 3 + n 4}

Next Step Substitute values of Variables

∴

W Avg = \frac{16 \cdot 50km/h + 11 \cdot 60km/h + 6 \cdot 70km/h + 3 \cdot 80km/h}{16 + 11 + 6 + 3}

Next Step Prepare to Evaluate

∴

W Avg = \frac{16 \cdot 50 + 11 \cdot 60 + 6 \cdot 70 + 3 \cdot 80}{16 + 11 + 6 + 3}

Next Step Evaluate

∴

W Avg = 16.358024691358m/s

Next Step Convert to Output's Unit

∴

W Avg = 58.8888888888889km/h

LAST Step Rounding Answer

∴

W Avg = 58.8889km/h

Weighted Average of Different Trains at Different Speeds Formula Elements

Variables

Weighted Average Speed

Weighted Average Speed is a speed that takes into account the varying speeds of different trains.

Symbol: W_Avg

Measurement: SpeedUnit: km/h

Note: Value should be greater than 0.

Formulas to find Weighted Average Speed

Number of Trains with Speed 1

Number of Trains with Speed 1 is total number of trains moving with same speed 1.

Symbol: n₁

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Trains with Speed 1

Speed of Trains Moving with Same Speed 1

Speed of Trains Moving with Same Speed 1 is the common speed with which the trains are moving on the railway track.

Symbol: V₁

Measurement: SpeedUnit: km/h

Note: Value should be greater than 0.

Formulas to find Speed of Trains Moving with Same Speed 1

Number of Trains with Speed 2

Number of Trains with Speed 2 is the total number of trains moving with the same speed 2.

Symbol: n₂

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Trains with Speed 2

Speed of Trains Moving with Same Speed 2

Speed of Trains Moving with Same Speed 2 is the common speed with which the trains are moving on the railway track.

Symbol: V₂

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Formulas to find Speed of Trains Moving with Same Speed 2

Number of Trains with Speed 3

Number of Trains with Speed 3 is total number of trains moving with same speed 3.

Symbol: n₃

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Trains with Speed 3

Speed of Trains Moving with Same Speed 3

Speed of Trains Moving with Same Speed 3 is the common speed with which the trains are moving on railway track.

Symbol: V₃

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Formulas to find Speed of Trains Moving with Same Speed 3

Number of Trains with Speed 4

Number of Trains with Speed 4 is total number of trains moving with same speed 4.

Symbol: n₄

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Trains with Speed 4

Speed of Trains Moving with Same Speed 4

Speed of Trains Moving with Same Speed 4 is the common speed with which the trains are moving on the railway track.

Symbol: V₄

Measurement: SpeedUnit: km/h

Note: Value should be greater than 0.

Formulas to find Speed of Trains Moving with Same Speed 4

Other formulas in Geometric Design of Railway Track category

Go Degree of Curve in Railways

D c = (\frac{1720}{R}) \cdot (\frac{π}{180})

Go Radius for given Degree of Curve in Railways

R = (\frac{1720}{D c}) \cdot (\frac{π}{180})

How to Evaluate Weighted Average of Different Trains at Different Speeds?

Weighted Average of Different Trains at Different Speeds evaluator uses Weighted Average Speed = (Number of Trains with Speed 1*Speed of Trains Moving with Same Speed 1+Number of Trains with Speed 2*Speed of Trains Moving with Same Speed 2+Number of Trains with Speed 3*Speed of Trains Moving with Same Speed 3+Number of Trains with Speed 4*Speed of Trains Moving with Same Speed 4)/(Number of Trains with Speed 1+Number of Trains with Speed 2+Number of Trains with Speed 3+Number of Trains with Speed 4) to evaluate the Weighted Average Speed, Weighted Average of Different Trains at Different Speeds is defined as a calculation that takes into account the varying speeds of different trains in a data set. Weighted Average Speed is denoted by W_Avg symbol.

How to evaluate Weighted Average of Different Trains at Different Speeds using this online evaluator? To use this online evaluator for Weighted Average of Different Trains at Different Speeds, enter Number of Trains with Speed 1 (n₁), Speed of Trains Moving with Same Speed 1 (V₁), Number of Trains with Speed 2 (n₂), Speed of Trains Moving with Same Speed 2 (V₂), Number of Trains with Speed 3 (n₃), Speed of Trains Moving with Same Speed 3 (V₃), Number of Trains with Speed 4 (n₄) & Speed of Trains Moving with Same Speed 4 (V₄) and hit the calculate button.

FAQs on Weighted Average of Different Trains at Different Speeds

What is the formula to find Weighted Average of Different Trains at Different Speeds?

The formula of Weighted Average of Different Trains at Different Speeds is expressed as Weighted Average Speed = (Number of Trains with Speed 1*Speed of Trains Moving with Same Speed 1+Number of Trains with Speed 2*Speed of Trains Moving with Same Speed 2+Number of Trains with Speed 3*Speed of Trains Moving with Same Speed 3+Number of Trains with Speed 4*Speed of Trains Moving with Same Speed 4)/(Number of Trains with Speed 1+Number of Trains with Speed 2+Number of Trains with Speed 3+Number of Trains with Speed 4). Here is an example- 212 = (16*13.8888888888889+11*16.6666666666667+6*19.4444444444444+3*22.2222222222222)/(16+11+6+3).

How to calculate Weighted Average of Different Trains at Different Speeds?

With Number of Trains with Speed 1 (n₁), Speed of Trains Moving with Same Speed 1 (V₁), Number of Trains with Speed 2 (n₂), Speed of Trains Moving with Same Speed 2 (V₂), Number of Trains with Speed 3 (n₃), Speed of Trains Moving with Same Speed 3 (V₃), Number of Trains with Speed 4 (n₄) & Speed of Trains Moving with Same Speed 4 (V₄) we can find Weighted Average of Different Trains at Different Speeds using the formula - Weighted Average Speed = (Number of Trains with Speed 1*Speed of Trains Moving with Same Speed 1+Number of Trains with Speed 2*Speed of Trains Moving with Same Speed 2+Number of Trains with Speed 3*Speed of Trains Moving with Same Speed 3+Number of Trains with Speed 4*Speed of Trains Moving with Same Speed 4)/(Number of Trains with Speed 1+Number of Trains with Speed 2+Number of Trains with Speed 3+Number of Trains with Speed 4).

Can the Weighted Average of Different Trains at Different Speeds be negative?

No, the Weighted Average of Different Trains at Different Speeds, measured in Speed cannot be negative.

Which unit is used to measure Weighted Average of Different Trains at Different Speeds?

Weighted Average of Different Trains at Different Speeds is usually measured using the Kilometer per Hour[km/h] for Speed. Meter per Second[km/h], Meter per Minute[km/h], Meter per Hour[km/h] are the few other units in which Weighted Average of Different Trains at Different Speeds can be measured.

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Weighted Average of Different Trains at Different Speeds Formula

Weighted Average of Different Trains at Different Speeds Example

Weighted Average of Different Trains at Different Speeds Solution

Weighted Average of Different Trains at Different Speeds Formula Elements

Other formulas in Geometric Design of Railway Track category

How to Evaluate Weighted Average of Different Trains at Different Speeds?

FAQs on Weighted Average of Different Trains at Different Speeds

Variable Name