Weighted Average of Different Trains at Different Speeds Calculator

✖Number of Trains with Speed 1 is total number of trains moving with same speed 1.ⓘ Number of Trains with Speed 1 [n₁]			+10% -10%
✖Speed of Trains Moving with Same Speed 1 is the common speed with which the trains are moving on the railway track.ⓘ Speed of Trains Moving with Same Speed 1 [V₁]			+10% -10%
✖Number of Trains with Speed 2 is the total number of trains moving with the same speed 2.ⓘ Number of Trains with Speed 2 [n₂]			+10% -10%
✖Speed of Trains Moving with Same Speed 2 is the common speed with which the trains are moving on the railway track.ⓘ Speed of Trains Moving with Same Speed 2 [V₂]			+10% -10%
✖Number of Trains with Speed 3 is total number of trains moving with same speed 3.ⓘ Number of Trains with Speed 3 [n₃]			+10% -10%
✖Speed of Trains Moving with Same Speed 3 is the common speed with which the trains are moving on railway track.ⓘ Speed of Trains Moving with Same Speed 3 [V₃]			+10% -10%
✖Number of Trains with Speed 4 is total number of trains moving with same speed 4.ⓘ Number of Trains with Speed 4 [n₄]			+10% -10%
✖Speed of Trains Moving with Same Speed 4 is the common speed with which the trains are moving on the railway track.ⓘ Speed of Trains Moving with Same Speed 4 [V₄]			+10% -10%

✖Weighted Average Speed is a speed that takes into account the varying speeds of different trains.ⓘ Weighted Average of Different Trains at Different Speeds [W_Avg]

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Weighted Average of Different Trains at Different Speeds Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
W_Avg = (n₁*V₁+n₂*V₂+n₃*V₃+n₄*V₄)/(n₁+n₂+n₃+n₄)
This formula uses 9 Variables

Variables Used

Weighted Average Speed - (Measured in Kilometer per Hour) - Weighted Average Speed is a speed that takes into account the varying speeds of different trains.
Number of Trains with Speed 1 - Number of Trains with Speed 1 is total number of trains moving with same speed 1.
Speed of Trains Moving with Same Speed 1 - (Measured in Kilometer per Hour) - Speed of Trains Moving with Same Speed 1 is the common speed with which the trains are moving on the railway track.
Number of Trains with Speed 2 - Number of Trains with Speed 2 is the total number of trains moving with the same speed 2.
Speed of Trains Moving with Same Speed 2 - (Measured in Kilometer per Hour) - Speed of Trains Moving with Same Speed 2 is the common speed with which the trains are moving on the railway track.
Number of Trains with Speed 3 - Number of Trains with Speed 3 is total number of trains moving with same speed 3.
Speed of Trains Moving with Same Speed 3 - (Measured in Kilometer per Hour) - Speed of Trains Moving with Same Speed 3 is the common speed with which the trains are moving on railway track.
Number of Trains with Speed 4 - Number of Trains with Speed 4 is total number of trains moving with same speed 4.
Speed of Trains Moving with Same Speed 4 - (Measured in Kilometer per Hour) - Speed of Trains Moving with Same Speed 4 is the common speed with which the trains are moving on the railway track.

STEP 1: Convert Input(s) to Base Unit

Number of Trains with Speed 1: 16 --> No Conversion Required
Speed of Trains Moving with Same Speed 1: 50 Kilometer per Hour --> 50 Kilometer per Hour No Conversion Required
Number of Trains with Speed 2: 11 --> No Conversion Required
Speed of Trains Moving with Same Speed 2: 60 Kilometer per Hour --> 60 Kilometer per Hour No Conversion Required
Number of Trains with Speed 3: 6 --> No Conversion Required
Speed of Trains Moving with Same Speed 3: 70 Kilometer per Hour --> 70 Kilometer per Hour No Conversion Required
Number of Trains with Speed 4: 3 --> No Conversion Required
Speed of Trains Moving with Same Speed 4: 80 Kilometer per Hour --> 80 Kilometer per Hour No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_Avg = (n₁*V₁+n₂*V₂+n₃*V₃+n₄*V₄)/(n₁+n₂+n₃+n₄) --> (16*50+11*60+6*70+3*80)/(16+11+6+3)

Evaluating ... ...

W_Avg = 58.8888888888889

STEP 3: Convert Result to Output's Unit

16.358024691358 Meter per Second -->58.8888888888889 Kilometer per Hour (Check conversion here)

FINAL ANSWER

58.8888888888889 ≈ 58.88889 Kilometer per Hour <-- Weighted Average Speed

(Calculation completed in 00.004 seconds)

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Created by Adnan H Kotawala

R V College of Engineering (RVCE), Bangalore

Adnan H Kotawala has created this Calculator and 25+ more calculators!

Verified by Rachana B V

The National Institute of Engineering (NIE), Mysuru

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Weighted Average of Different Trains at Different Speeds Formula

LaTeX Go

Weighted average of different trains at different speeds

The 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. In calculating a weighted average, each number in the data set is multiplied by a predetermined weight before the final calculation is made.

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

Weighted Average of Different Trains at Different Speeds calculator 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 calculate 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 calculate Weighted Average of Different Trains at Different Speeds using this online calculator? To use this online calculator 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. Here is how the Weighted Average of Different Trains at Different Speeds calculation can be explained with given input values -> 212 = (16*13.8888888888889+11*16.6666666666667+6*19.4444444444444+3*22.2222222222222)/(16+11+6+3).

FAQ

What is Weighted Average of Different Trains at Different Speeds?

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 and is represented as W_Avg = (n₁*V₁+n₂*V₂+n₃*V₃+n₄*V₄)/(n₁+n₂+n₃+n₄) or 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). Number of Trains with Speed 1 is total number 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, Number of Trains with Speed 2 is the total number of trains moving with the 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, Number of Trains with Speed 3 is total number 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, Number of Trains with Speed 4 is total number 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.

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

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 is calculated using 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 calculate Weighted Average of Different Trains at Different Speeds, you need 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). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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