A dog after travelling $50$ km meets a swami who counsels him to go slower. He then proceeds at $3/4$ of his former speed and arrives at his destination $35$ minutes late. Had the meeting occurred $24$km further the dog would have reached its destination $25$minutes late. The speed of the dog is

Ajay and Vijay start running simultaneously from the same point on a circular track in the same direction. If Ajay is running with a uniform speed of $\text{'}a\text{'} \mathrm{kmph}$ and Vijay is running with $\text{'}b\text{'} \mathrm{kmph}$, they meet for the first time when Ajay is in his $4^{\mathrm{th}}$ round and Vijay is in his $3\mathrm{rd}$ round. Which of the following can be value of $\mathrm{a} : \mathrm{b} (\mathrm{If} \mathrm{a} > \mathrm{b})$?

Three cars leave Patna for Ranchi after equal time intervals. They reach Ranchi simultaneously and then leave for Vizag, which is $120 \mathrm{km}$ from Ranchi. The first car arrives there an hour after the second car, and the third car, having reached Vizag, immediately reverses the direction and $40 \mathrm{km}$ from Vizag meets the first car. Find the speed of the first car.