The concept of time, speed and distance is one
of the most important concepts of Algebra and Arithmetic. It is
advised to keep yourself prepared to see a question or two from
this topic.
This Topic covers following concepts:
-Relationship between time, speed and distance
-Important formulae to solve the related problems
-Average speed and relative speed
TIME: TIME is a component to compare the durations of events and the intervals between them, and to quantify the motions of objects.
SPEED: The speed of a body can be defined as the distance covered by it in Unit time. This statement gives birth to three forumlae.
DISTANCE: The numerical description of "How far two objects are" is called distance. It may also refer to the length between two points that may be present or may get created.
1)
; Distance is
constant
This also proves SPEED IS PROPORTIONATE WITH .
If you notice the distance traveled in a unit time with different
speed, greater the speed in a time unit; greater will be the
distance covered under that time span.
Example: Mr. X uses his car to go to office
which is 50 km from his place.
It takes him 1 hour to reach office if he travels at usual speed
of {}
Suppose, Mr. X on a particular day managed to reach office in
We can say that he drove at a
higher speed as the distance was constant, 50 km(home to
office).
In this case the speed will be
2)
; Time is constant
Thus, DISTANCE IS PROPORTIONATE TO SPEED.
Example: Time taken in a particular journey can be changed only in two cases.
Case-1: Change in speed of object -
Case-2: Change in distance covered -
3)
; Speed is constant
Thus, DISTANCE IS PROPORTIONATE TO TIME.
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UNITS OF MEASUREMENT: |
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TIME can be measured in: |
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Hours |
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Minutes |
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Seconds |
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Some conversions related to TIME are as follows: |
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1 Hour = 60 Minutes = 60 X (60 Seconds) = 3600 Seconds |
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DISTANCE can be measured in various units. some important are: |
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Miles |
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Kilometers |
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Meters |
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Yards |
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Feet |
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Some conversions related to DISTANCE are as follows: |
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1 Kilometer = 1000 Meters |
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1 Kilometer = 0.6214 Miles |
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1 Yard = 3 feet |
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SPEED IS MEASURED IN TERMS OF DISTANCE COVERED / TIME. SOME IMPORTANT UNITS ARE: |
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Miles/hour |
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Kilometers/hour |
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Meters/second |
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Some conversions related to SPEED are as follows: |
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To convert kilometer per hour to meter per
second: |
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To convert meters per second to Kilometer
to hour: |
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To convert kilometer per hour to miles per
hour: |
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To convert miles per hour to feet per
second: |
P.T.O.
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