Relation between Speed Distance and Time

Speed, Distance, and time are one of the important and popular topics in maths you have to learn in 5th grade. The concept of the Relation between speed distance and time is familiar to most of us. The students of 5th grade can go through this article before they start their preparation for the exams. In this article, you can find different types of speed, Speed distance time conversions, examples on speed, distance, and time.

Speed, Distance & Time – Definitions

Speed: Speed is the rate of the ratio between two different quantities in different units like distance and time. The speed is measured as the distance traveled per unit of time. Speed is directly proportional to distance and inversely to time.
Speed = Distance/Time

Distance: Distance is defined as the amount of space between two points (source to destination).
Distance = Speed × Time

Time: Time is calculated by distance and speed.
Time = distance/speed

Types of Speed

The speed of an object is classified into three types. They are uniform speed, variable speed, average speed.

Uniform Speed: If an object or body travels the same distance in the same interval of time then the object is said to be traveling with a uniform speed.

Variable Speed: If the object or body travels at different distances in the same intervals of time then it is said to be moving with variable speed.

Average Speed: If a moving body travels in different distances like d1, d2, d3…. with different speeds V1, V2, V3,.. Vn m/sec in time t1, t2, t3…….tn seconds.
The average speed of the body = Total Distance traveled/Total unit time
= d1 + d2 + d3….dn/t1 + t2 + t3 + …..tn

Relationship between Speed, Distance and time

The mathematical relation between speed, distance, and time is explained in detail here.
1. The speed of a moving body is the distance traveled by an object in unit time.
2. If the distance is in meters and the time is in seconds, then the speed is meter/sec.
3. If the distance is in kilometers and the time is in hours, then the speed is km/hr.
Speed = Distance/Time
Time – Distance/Speed
Distance = Speed × Time

Units of Speed, Distance, and Time

Speed, time, and distance are expressed in different units. They are as follows

  • Speed: meter/sec, Kilometer/hr
  • Time: Seconds, Minutes, Hour
  • Distance: Meters, kilometers, miles, feet

Speed Distance Time Conversions Table

The table given below will help you to convert from kilometers to meters and from hours to minutes and seconds.

1.      1 yard = 3 feet
2.      1 kilometres = 1000 meters = 0.6214 mile
3.      1 mile = 1760 yards = 5280 feet
4.      1 hour = 60 minutes = 3600 seconds
5.      1 mph = (1 × 5280)/(1 × 3600) = 22/15 ft/sec
6.      1 mile = 1.609 kilometers
7.      To convert from km/hr to m/sec, we multiply by 5/18

So, 1km/hr  = 5/18 m/sec

8.      To convert from m/sec to km/hr, we multiply by 18/5
So, 1m/sec = 18/5 km/hr = 3.6km/hr

Problems on Relationship between Time Speed and Distance

Example 1.
A car travels 140 kilometers in 4 hours. Find the speed of a car?
Solution:
A car travel = 140 kilometres
Time taken = 4 hours
speed is defined as the distance covered per unit time
Speed = distance travelled/ Time taken
If the distance is in kilometers and the time is in hours.
Therefore the units of measurement speed in kilometers per hour
Speed = 140/4
= 35 kilometres/hour

Example 2.
A bike covers a distance of 300 kilometers in 5 hours. Find its average speed?
Solution:
Bike covered distance = 300 kilometres
Total time taken = 5 hours
Average speed = Total distance covered/ total time taken
= 360/5 = 60 kilometres/hour.

Example 3.
Find the speed and average speed of a bus which leaves the bus station at 6 pm and reaches next day at 6 am the distance between the two bus stations is 600 kilometers and the total time for stoppage is 1 hour between these stations?
Solution:
Total time taken = 6pm to 6 am
= 12 hours
Time for stoppage = 1 hour
Actual time taken = 12 – 1 hour
Speed = total distance/ actual time taken
= 600/11 = 54.54 kilometres/ hour
Average speed = total distance covered/ total time taken
= 600/12 = 50
Including stoppage time = 50 kilometres/ hour

Example 4.
A person travels 20 kilometers in 2 hours. Find the speed of a person
Solution:
A person travels total distance = 20 kilometers
Time taken = 2 hours.
covered per unit time
Speed = distance travelled/ Time taken
If the distance is in kilometers and the time is in hours.
Therefore the units of measurement speed in kilometers per hour
Speed = distance travelled/ time taken
= 20/2 = 10 kilometres

Example 5.
A car covers a distance of 40 kilometers in 2 hours. Find its average speed?
Solution:
Average speed = total distance covered/Total time taken
Total distance covered = 40 kilometres
Total time taken = 2 hours
= 40/2 = 20 kilometres.

FAQs on Relationship of Speed Distance and Time

1. What is the relationship between distance and time for speed?

The formula for speed is speed = distance/time. It is measured in meters, kilometers by the unit of time.

2. What is the relationship between speed and time?

The relation between speed and time is the time rate of change of the distance.
s = d/t

3. Do speed and time have an inverse relationship?

Yes, speed and time are inversely proportional to each other. As your speed decreases, the travel time increases.

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