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)
WAvg = (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
WAvg = (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 ... ...
WAvg = 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)

Credits

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
Rachana B V has verified this Calculator and 50+ more calculators!

12 Geometric Design of Railway Track Calculators

Weighted Average of Different Trains at Different Speeds
Go 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)
Equilibrium Cant in Railways
Go Equilibrium Cant in Railways = Gauge of Track*Speed of Vehicle on Track^2/(127*Radius of Curve)
Shift in Railways for Cubic Parabola
Go Shift in Railways in Cubic parabola = Length of Transition Curve in meters^2/(24*Radius of Curve)
Equilibrium Cant for NG
Go Equilibrium Cant for Narrow Gauge = 0.762*Speed of Vehicle on Track^2/(127*Radius of Curve)
Equilibrium Cant for BG
Go Equilibrium Cant for Broad Gauge = 1.676*Speed of Vehicle on Track^2/(127*Radius of Curve)
Equilibrium Cant for MG
Go Equilibrium Cant for Meter Gauge = 1.000*Speed of Vehicle on Track^2/(127*Radius of Curve)
Cant Deficiency for given Maximum Theoretical Cant
Go Cant Deficiency = Maximum Theoretical Cant-Maximum Equilibrium Cant
Maximum Theoretical Cant in Railways
Go Maximum Theoretical Cant = Maximum Equilibrium Cant+Cant Deficiency
Radius for given Degree of Curve in Railways
Go Radius of Curve = (1720/Degree of Curve for Railways)*(pi/180)
Degree of Curve in Railways
Go Degree of Curve for Railways = (1720/Radius of Curve)*(pi/180)
Cant Deficiency for given Theoretical Cant
Go Cant Deficiency = Theoretical Cant-Equilibrium Cant
Theoretical Cant in Railways
Go Theoretical Cant = Equilibrium Cant+Cant Deficiency

Weighted Average of Different Trains at Different Speeds 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)
WAvg = (n1*V1+n2*V2+n3*V3+n4*V4)/(n1+n2+n3+n4)

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 WAvg 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 WAvg = (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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!