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
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