SOLUTION: A car travelled from Kago to Agra at an average speed of 60kmlh and returned at 45km/h on the Same Route. If the total time taken for the joumey was 3hours 30minutes. Find the dist

           Method 1 - using time equation


Let "d" be one way distance, in kilometers.

Then the time moving from K to A is    hours;

     the time moving from A to K is    hours.


Total time is 3  hours;  so we write this "time equation"

     +  = 3.


To solve it and to find "d", multiply both sides by 180. You will get

    3d + 4d = 630

       7d   = 630

        d   = 630/7 = 90.


ANSWER.  The distance is 90 km.



           Method 2 - using distance equation


Let "t" be one the travel time from K to A, in hours.

Then the travel time back is 3.5-t hours.


The distance from K to A is  60t kilometers.

The distance from A to K is  45(3.5-t) kilometers.

The distance is the same, so we write this distance equation

    60t = 45(3.5-t).


Simplify and find t

    60t = 45*3.5 - 45t

    60t + 45t = 45*3.5

       105t   = 45*3.5

          t   =  = 1.5.


Thus, the travel time from K to A is 1.5 hours - hence, the distance is 1.5*60 = 90 kilometers.

You get the same answer.