Speed of the car for the first half distance = 60 km/h
Speed of the car for the second half distance = 40 km/h
Total Distance covered = 2s = 2d
To Find:
Average speed of the car
Formula:
Average Speed = Total distance/ total time taken
= 2s / ( t1 + t2)
Calculation:
First we have to find the time taken to cover each distance.
Time taken to cover the first half distance (t1 )
= Distance/ Speed
= s / 60
Time taken to cover the second half distance (t2)
= Distance / Speed
= s/ 40
Now, the average speed of the car is
Average Speed = 2s / (t1 + t2)
=> Average Speed = 2s/ ( s / 60 + s / 40)
Taking S common from the numerator and denominator
= 2s / s (1/60 + 1/40)
= 2s / s (7/120)
= 2 / (7/120)
= 2 * ( 120 / 7)
= 2 * ( 120 / 7)
= 240 / 7
Therefore the average speed of the car is 240/7 km/h.