Akhil after travelling 50 km meets Raju who suggests him to go slower. He then proceeds at ¾ of his former speed and arrives at his destination 35 minutes late. Had the meeting occurred 24 km further Akhil would have reached its destination 25 minutes late. What is the initial speed of Akhil?

Let the initial speed of Akhil be '4p' kmph

Then speed after decrease in speed = '3p' kmph

We know that, 

Change in speed == Change in time

According to the given data,

$\frac{24}{3p} - \frac{24}{4p} = \frac{35 - 25}{60}=> p = 12$

Hence, the initial speed of Akhil = 4p = 4 x 12 = 48 kmph.