Relation of Speed Distance and Time
We will discuss here about the relation of Speed Distance and Time.
Speed is defined as the distance covered per unit time.
Speed = \(\frac{\textrm{Distance Travelled}}{\textrm{Time Taken}}\)
Or,
S = \(\frac{D}{T}\)
Speed also requires a unit of measurement. If the distance is in kilometers and the time is in hours, then the unit of measurement of speed is km per hour or km/hr.
For Example:
A car travels 120 km in 2 hours; find the speed of the car.
Speed = \(\frac{120}{2}\)
= 60 km/hr
Similarly,
if the length is in metres and the time is in minutes, then the unit of
measurement of speed is metre/per minute or m/min.
Average Speed
For Example:
1. A bus covers a distance of 325 kms in 5 hours. Find its average speed.
Solution:
Average Speed = \(\frac{\textrm{Total Distance Covered}}{\textrm{Total Time Taken}}\)
= \(\frac{325 km}{5 hours}\)
= 65 km/hr
2. A bus covers a distance of 420 kms in 6 hours. Find its average speed.
Solution:
Average Speed = \(\frac{\textrm{Total Distance Covered}}{\textrm{Total Time Taken}}\)
= \(\frac{420 km}{6 hours}\)
= 70 km/hr
3.
Find the speed and average speed of a train which leaves the Florida
Station at 10 p.m. and reaches next day at 10 a.m. The distance between
the two stations is 648 km and the total time for stoppage is 2 hours
between these stations.
Solution:
Total time taken = 10 p.m. to 10 a.m.
= 12 hours
Time for stoppage = 2 hours
Actual time taken = 12 hrs - 2 hrs = 10 hrs
Speed = \(\frac{\textrm{Total Distance}}{\textrm{Actual Time Taken}}\)
= \(\frac{648 km}{10 hr}\)
= \(\frac{648}{10}\) km/hr
= 64.8 km/hr
Average Speed = \(\frac{\textrm{Total Distance Covered}}{\textrm{Total Time Taken}}\)
= \(\frac{648}{12}\)
(Including stoppage time) = 54 km/hr
Express Speed in Different Units
To find Speed when Distance and Time are given.
To find the Distance when Speed and Time are given.
To find Time when Distance and Speed are given.
Worksheet on Expressing Speed in Different Units
Worksheet on Speed, Distance and Time.
5th Grade Numbers Page
5th Grade Math Problems
From Relation of Speed Distance and Time to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
5th Grade Highest Common Factor | HCF | GCD|Prime Factorization Method
Mar 24, 25 03:40 PM
The highest common factor (H.C.F.) of two or more numbers is the highest or greatest common number or divisor which divides each given number exactly. Hence, it is also called Greatest Common Divisor… -
5th Grade Factors and Multiples | Definitions | Solved Examples | Math
Mar 23, 25 02:39 PM
Here we will discuss how factors and multiples are related to each other in math. A factor of a number is a divisor which divides the dividend exactly. A factor of a number which is a prime number is… -
Adding 2-Digit Numbers | Add Two Two-Digit Numbers without Carrying
Mar 23, 25 12:43 PM
Here we will learn adding 2-digit numbers without regrouping and start working with easy numbers to get acquainted with the addition of two numbers. -
Worksheet on 12 Times Table | Printable Multiplication Table | Video
Mar 23, 25 10:28 AM
Worksheet on 12 times table can be printed out. Homeschoolers can also use these multiplication table sheets to practice at home. -
Vertical Subtraction | Examples | Word Problems| Video |Column Method
Mar 22, 25 05:20 PM
Vertical subtraction of 1-digit number are done by arranging the numbers column wise i.e., one number under the other number. How to subtract 1-digit number vertically?
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.