Relationship between Speed, Distance and Time

What is the relationship between speed, distance and time?

Here we will learn the mathematical relation between the speed, distance and time. The speed of a moving body is the distance travelled by it in unit time.

If the distance is in km and time is in hours, then the speed is km/hr.

If the distance is in m and the time is in seconds, then the speed is m/sec.

For example:    

1. A car travels 75 km in 1 hour; we say that the speed of the car is 75 kilometers per hour, i.e., 75 km/hr.

2. Maria runs 360 m in 90 seconds; we say that the speed of Maria is 360/90 m/sec = 4 m/sec.

3. If a car travels 60 km in 1 hour; we say that the speed of the car is 60 kilometers per hour, i.e., 60 km/hr.

Speed can be uniform or variable.

Uniform speed: If an object covers the same distance in the same intervals of time, then the speed of the object is said to be uniform.

For example:    

A car covers 70 km in 1st hour, 70 km in 2nd hour, 70 km in 3rd and so on. We say that the car is moving with a uniform speed of 70 km/hr.


Variable speed: If an object covers different distance in the same interval of time, then the speed of the object is said to be variable.

For example:

If a car covers 59 km in the first hour, 64 km in the second hour and 57 km in the third hour. We say that the car is moving with a variable speed.


Average Speed: If a moving body travels d\(_{1}\), d\(_{2}\), d\(_{3}\), …. d\(_{n}\) meters with different speeds V\(_{1}\), V\(_{2}\), ……, V\(_{n}\) m/sec in time t\(_{1}\), t\(_{2}\), …., t\(_{n}\) seconds respectively.

Then the average speed of the body = \(\frac{total  distance  traveled}{total  time  taken } = \frac{d_{1} + d_{2} + d_{3} +  ... + d_{n}}{t_{1} + t_{2} + t_{3} +  ...  + t_{n}}\)

The relationship between speed, distance and time are connected by the following relation:

Speed = Distance/Time

Time = Distance/Speed

Distance = Speed × Time

Speed of Train

Relationship between Speed, Distance and Time

Conversion of Units of Speed

Problems on Calculating Speed

Problems on Calculating Distance

Problems on Calculating Time

Two Objects Move in Same Direction

Two Objects Move in Opposite Direction

Train Passes a Moving Object in the Same Direction

Train Passes a Moving Object in the Opposite Direction

Train Passes through a Pole

Train Passes through a Bridge

Two Trains Passes in the Same Direction

Two Trains Passes in the Opposite Direction





8th Grade Math Practice

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Worksheet on Conversion of Units of Speed

Worksheet on Calculating Time

Worksheet on Calculating Speed

Worksheet on Calculating Distance

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Worksheet on Train Passes through a Bridge 

Worksheet on Relative Speed

Worksheet on Decimal into Percentage