Time and Distance

The fundamental concept of Speed, time, and distance involves the relationship between three variables. The speed of a body is defined as the distance covered by the body per unit of time. 

Therefore, Speed = Distance / Time

Speed – Speed refers to the rate at which a specific distance is covered by an object being in motion. 

Time – Time is defined as an interval distinguishing between two events. 

Distance – Distance is known as the extent of space between two points. 

Each of the Speed, time, and distance can be represented with their respective units. 

Speed – Speed is commonly denoted as Km/hr and M/s.

Time – Time is generally expressed in seconds (s), hours (hrs) as well as minutes (min). 

Distance – Distance is expressed in meters (m) and kilometers (km). 

Calculation of Speed, Distance, and Time

To calculate Speed, Distance, and Time, you are required to know two out of three variables. Further, variables need to be converted into similar units. For instance, if you have speed into Km/hr (Kilometer per hour), you need to do conversion of time into hours too. 

Following is the formula used to perform the calculation of Speed, Distance as well as Time :

Distance = Speed x Time 

How to calculate Average Speed? 

Average speed is known to measure the average rate of speed. 

Average speed is also known as Average velocity in physics and engineering. The formula for calculating Average Speed is given below :

v = d/t 

Here, v is denoted as Average speed, d is used for Distance, and t means Time. 

How to calculate Distance? 

Distance is defined as the length of the space between two points. 

Following is the method is given to calculate Distance :

d = v x t

Here, d means Distance, v refers to Speed whereas t denotes Time. 

Time Formula 

Time is defined as the interval separating two distinctive events. 

Given below is the formula to calculate Time :

t = d/v

Here, t is known as Time, d is denoted as Distance, and v is referred to as Speed. 

Speed, Time and Distance practice questions 

Following are some practice questions along with their solutions to get more clarity over the concept :

• Aman crosses a 600m long bridge in 5 minutes. What is Aman’s speed in Km/hr? 

Speed = Distance /Time 

           = 600/ 5 x 60 m/s

           = 2 m/s 

Let’s convert m/s into Km/hr :

           = 2 x 18/5 Km/hr

           = 7.2 Km/hr

• The speed of a bus is 54 Km/hr excluding stoppages. By including stoppages, the speed of the bus is 45 Km/hr. For how many minutes, does the bus stop per hour? 

Because of stoppages, the bus covers 9 Km less. 

Therefore, Time taken to cover 9 Km = 9/54 x 60 mins = 10 mins

• If Neha walked at 14 Km/hr instead of 10 Km/hr, she would have walked 20 Km more. What is the actual distance covered by Neha? 

Let the actual distance traveled by Neha be x Km. 

Then, x/10 = x+20/14

14x = 10x + 200

4x = 200

x = 50

Actual distance = 50Km

• The ratio of speeds of two trains is 7:8. If the second train completes 400 Km in 4 hours, then calculate the speed of the first train. 

Let the speeds of two trains be 7x and 8x Km/hr respectively. 

Then, 8x = 400/4 = 100

x = 100/ 8 = 12.5

Speed of first train = 7 x 12.5 Km/hr = 87.5 Km/hr

• A lady completes her journey in 10 hours. She covers the first half of the journey at the rate of 21 Km/hr and the second half of the journey at the rate of 24 Km/hr. Calculate her total journey in Km. 

1/2x / 21 + 1/2x / 24 = 10

x/21 + x/24 = 20

15x = 168 x 20 

x = 224 Km

What is the distance from Earth to the Moon? 

The average distance to the moon is known to be 384,403 kilometers. The word Average has been used here due to one fact that says the Moon orbits around the Earth in an elliptical pattern. This means that at certain times, it will be farther away, and at certain times, it will be closer. 

At its closest point, the moon is only 363,104 kilometers away. And in its distant time, the Moon gets to a distance of 406,696 kilometers.

Conclusion 

After going through the complete article, it is pretty clear that the basics of time, speed, and distance are really important. Conclusively, the basic concept of Speed, Time, and Distance involves the relation between three variables. The Universal formula for calculating Speed, Time, and Distance are: Distance = Speed x Time 

Every variable has its particular unit. 

• Speed is calculated in Km/hr and m/s. 
• Time is denoted as Hours (Hrs) and minutes (min). 
• Distance is expressed in meters(m) and kilometers(km). 

Note: The main thing to be kept in mind while solving Speed, Time, and Distance practice questions is that the unit of every variable must be similar.