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 **tim**e.

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

Relationship between Speed, Distance and Time

Problems on Calculating Distance

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

Two Trains Passes in the Same Direction

Two Trains Passes in the Opposite Direction

**8th Grade Math Practice**

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