Ram travelled from a place Z to P at an average speed of 130 km/h. He travelled the first 75% of the distance in two third of the time and rest at an average speed of X km/h. The value of $$\frac{x}{2}$$ is.

Solution (By Examveda Team)

Let the distance be 400 km
Then time taken by him = $$\frac{{400}}{{130}}$$
75% of distance is = 300 km
Time taken by him to complete the distance of 300 km $$ = \frac{{400}}{{130}} \times \frac{2}{3} = \frac{{80}}{{39}}$$
Rest distance = 100 km
Time taken by him $$ = \frac{{400}}{{130}} - \frac{{80}}{{39}} = \frac{{40}}{{39}}{\text{ h}}$$
According to the question,
$$\eqalign{ & \frac{{100}}{{\frac{{40}}{{39}}}} = x \cr & x = \frac{{390}}{4} \cr & \therefore \frac{x}{2} = \frac{{390}}{8} = 48.75 \cr} $$