Time, Speed and Distance

A boat covers $6$ km in an hour in still water. It takes thrice as much time in covering the same distance against the current. What is the speed of the current ?

Tarun can cover a certain distance in $1$ hr $24$ min by covering $\displaystyle \frac{2}{3}$ of the distance at $4$ km/hr and the rest at $5$ km/hr. The total distance is:

A man is traveling by car at the rate of $40$ km/hr. After every $80$ km, he rests for $20$ min. How long will he take to cover a distance of $240$ km?

A goods train leaves a station at a certain time and at a fixed speed. After $6$ hours an express train leaves the same station and moves in the same direction at a uniform speed of $90$ kmph. This train catches up the goods train in $4$ hours. Find the speed of the goods train.

A car travels from $P$ to $Q$ at a constant speed. If its speed were increased by $10$ km/hr , it would have taken one hour lesser to cover the distance. It would have taken further $45$ minutes lesser if the speed was further increased by $10$ km/hr. What is the distance between the two cities?

A man covered a certain distance at some speed. Had he moved $3$ $kmph$ faster he would taken $40$ minutes less. If he had moved $2$ $kmph$ slower, he would have taken $40$ minutes more. The distance in $km$ is:

A car driver travels from the plains to the hill station which are $200$ km apart at an average speed of $40$ km/hr. In the return trip he covers the same distance at an average speed of $20$ km/hr. The average speed of the car over the entire distance of $400$ km is

A motorist covers a distance of $39$ km in $45$ minutes by moving at a speed of $x$ kmph for the first $15$ minutes, then moving at double the speed for the next $20$ minutes, then again moving at his original speed for the rest of the journey, then $x$ in kmph is equal to:

Anna left for city $A$ from city $B$ at $5.20$ $a.m.$ She travelled at the speed of $80$ $km/hr$ for $2$ hours $15$ minutes. After that the speed was reduced to $60$ $km / hr$. If the distance between two cities is $350$ $km$, at what time did Anna reach city $A$ ?

Walking $\displaystyle \dfrac{6}{7}$th of his usual speed a man is $12$ minutes late. The usual time taken by him to cover that distance is:

Two cars A and B having average speeds of 30 and 40 km/hr, respectively, are 280 km apart. They start moving towards each other at 3.00 pm, at what time, will they meet?

If I walk at the rate of $5$ km/hr, I will be late by $7$ minutes, but if I walk at the rate of $6$ km/hr I will be early by $5$ minutes. The distance to be covered in km is

If two cars $A$ and $B$ move towards each other, where car $A$ starts at $9$ a.m. and $B$ at $10$ a.m. The speeds of the car $A$ and $B$ are $40$ km/hr and $50$ km/hr respectively. what distance does car travel when the two cars meet, if the initial distance between $A$ and $B$ is $400$ km?