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
Relationship between Speed, Distance and Time
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Two Trains Passes in the Opposite Direction
8th Grade Math Practice
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