In this article, we will learn the mathematical relation existing between Speed Distance and Time. Speed is the distance traveled by a moving object in unit time. Go through the entire article to learn about How is Speed Related to Time and Distance. Check out Solved Problems for finding Speed **Time and Distance** if few parameters are known. To help you understand the concept better we have provided Detailed Solutions.

If the distance is in km and the time taken to cover it is in hrs then the unit of Speed is given by km/hr. In the same way, if the distance is in m and the time taken to cover it is in sec then the unit of speed is given by m/sec. Speed can be either uniform or variable.

**Example:** If a Car travels 60 km in 1 hr then the Speed of it traveled is given by 60km/hr.

## Types of Speed

There are two different types of Speeds and each one of their definition along with examples is explained in detail.

- Uniform Speed
- Variable Speed
- Average Speed

**Uniform Speed: **If an object travels the same distance in the same intervals of time then the object is said to be traveling with a Uniform Speed.

Example: If a car covers 60 km in 1st hour and 60 km in the 2nd hour, 60 km in the 3rd hour then the car is said to be moving with a uniform speed of 60kmph or 60 km/hr.

**Variable Speed: **If an object travels a different distance in the same intervals of time then the object is said to be moving with variable speed.

Example: If a car travels at 45 km for the 1st hour and 54 km for the 2nd hour and 65 km in the third hour then the car has a variable speed.

**Average Speed:** If a moving object travels different distances d_{1}, d_{2}, d_{3}, …. d_{n} with different speeds V_{1}, V_{2}, ……, V_{n} m/sec in time t_{1}, t_{2}, …., t_{n} seconds.

Average Speed of the Body = Total Distance Traveled/Total Time Taken

= d_{1}+d_{2}+d_{3}…..d_{n}/t_{1}+t_{2}+….t_{n}

Relation between Time Speed and Distance is given by the following

Speed = Distance/Time

Distance = Speed *Time

Time = Distance/Speed

### Solved Problems on Relationship between Time Speed and Distance

1. A car travels a distance of 400 km in 5 hours. What is its speed in km/hr?

Solution:

We know the formula for Speed = Distance/Time

Speed = 400 km/5 hr

= 80 km/hr

The speed at which a car travels is 80 km/hr.

2. The distance between the two stations is 240 km. A train takes 2 hours to cover this distance. Calculate the speed of the train in km/hr and m/s?

Solution:

Distance between two stations = 240 km

Time = 2 hrs

Speed = Distance/Time

= 240 km/2 hr

= 120 km/hr

Speed of the train in m/sec is obtained by multiplying with 5/18

= 120*5/18

= 33.33 m/sec

3. Traveling at a speed of 45 kmph, how long is it going to take to travel 90 km?

Solution:

Speed = 45 kmph

Distance = 90 Km

we know the relation between speed distance and time is Speed = Distance/Time

45 kmph = 90 km/Time

Time = 90 km/45 kmph

= 2 hours