Average speed



Let look at how to calculate average , distance and  time taken, in a any movement carry out. This particular branch of mathematics always featured in common entrance examination,if you always get it hard in solving this, do not worry i'll show you the simplest method needed.


First to deal with this, you must be familiar with the three formula required, there are:

                                                        distance covered

  (1)Finding the average speed:    ------------------------

                                                        Time/hour taken


 This means you divide the total distance by the  given time taken.


                                                          

(2) Finding the distance covered     = Speed x  time

      This means you multiply the average by time taken


                                                           Distance

(3) Finding the time taken:       -----------------------  

                                                            Time
     



Now let look at some examples, the  formula above is the key to our success....

  

Exercises 

A car traveled a distance of  250km at an average speed of 50⁻¹ Kmh. Fine the time taken to cover this distance.  

    Solution

Distance traveled =  250km

Average speed of the car = 50 Kmh

                 

                            Distance

      Time  =   --------------------------

                              A.speed


                250

         ----------------  = 5h

                50                   

So when ever you have this kind of question, do not worry,  just divide the given distance by the average speed according to the formula.



A cyclist travels 48km at 16km⁻¹, Fine the time taken.

Solution

    Distance traveled by motor cyclist = 48km

   speed of the cyclist =16km⁻¹

     

                                    Distance

       Time taken  = ---------------------

                                      Speed

                              48km

                      -------------------- = 48

                                16kmh⁻¹

     Time /hour = 3h



What is the distance covered by a car travelling at 65kmh⁻¹ for 7 hours


                        

Solution

        Speed of the care = 65kmh⁻¹e

         Time taken to cover the distance = 7h

        Distance traveled =   Speed x Time

                     

                                455km = 65 x 7

               Distance raveled =   455km              


Now can you see,i applied all the formula in each of the question


Exercises

1. A boy walking at the speed of 4km/h covered a distance of 77km. How long did it take the boy?


 Do not forget the formula when finding time taken , distance divided by speed. 

 Speed walking =  4km/h

  Distance to cover up = 77km

                      

                                   77km         

       Time taken = ------------------ 19:25mins

                                     4km/h  


               T.T =  19:25mins


It took the boy 19 hours 25 minutes to cover the distance of 77km...


                                                                                                                                  1

2.If car is moving at an average speed of  50 km for a long time of   3  ------------ h, what distance will take the car to covered up.

                                                                                                                                 2

                                                

  Speed of the car =  50 km/h

  Time taken =  3 x 2 + 1 = 7h

      

                 50              7

  =       ---------- x  -----------

                 1                 2

              

                   50 x 7

=         ----------------------

                        2



               350

     =  -------------- =   175km

                2


 Distance covered is  175km.






Activities

1.A motor cyclist travels at 56kmh⁻¹. How long will it travel in  2 whole number remainder 1 all over 4?

2. The average speed of a care is 80kmh⁻¹ and the driver covers a distance of 400km.How many hours does the journey  take?

3. An  aeroplane flies  4 200km at  a speed 800kmh⁻¹.How long is the flight?

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