Time, Speed and Distance

A  $250 \mathrm{m}$ Train is running at the average speed$90 \mathrm{km}/\mathrm{hr}$ . How long will it take to pass a standing man?

A bullock cart has to cover a distance of $120 \mathrm{km}$ in $15 \mathrm{hours}$ . If it covers half of the journey in ${\frac{3}{5}}^{\mathrm{th}}$ time, the speed to cover the remaining distance in the time left has to be:

A thief steals a car at $2.30$pm and drives it at $60$kmph. The theft is discovered at $3$pm and the owner sets off in another car at $75$ kmph when will he overtake the thief ?

The average speed of a train is $\frac{10}{7}$ times the average speed of a car. The car covers a distance of $588 \mathrm{km}$ in $6 \mathrm{hours}$. How much distance will the trains cover in $13 \mathrm{hours}$?

A man walking at ${\frac{4}{5}}^{th}$th of his original speed reaches his destination in $15$ minutes later than the usual time. Then the usual time is:

During a journey of $80 \mathrm{km}$, a train covers the first $60 \mathrm{km}$ with a speed of $40 \mathrm{km}/\mathrm{hr}$ and completes the remaining distance with a speed of $20 \mathrm{km}/\mathrm{hr}$. What is the average speed of the train during the whole journey$?$

A man in a train notices that he can count $21$telephone posts in one minute. If they are known to be $50$metres apart, at what speed is the train travelling?

A man travels on a scooter from $\mathrm{A}$ to $\mathrm{B}$ at a speed of $30 \mathrm{km}/\mathrm{hr}$ and returns from  $\mathrm{B}$ to $\mathrm{A}$ at $20 \mathrm{km}/\mathrm{hr}$. The total journey was performed by him in $10 \mathrm{hours}$. Find the distance from  $\mathrm{A}$ to $\mathrm{B}$.

A Kinetic Honda covers a distance of $140 \mathrm{km}$ in $2 \mathrm{hours} \mathrm{and} 20 \mathrm{minutes}$ while a car covers the same distance in $1 \mathrm{hour} \mathrm{and} 40 \mathrm{minutes}$. What is the ratio of their speeds?

Sarita and Julie start walking from the same place in the opposite directions. If Julie walks at a speed of $\frac{5}{2} \mathrm{km}/\mathrm{hr}$. and  Sarita at a speed of  $2 \mathrm{km}/\mathrm{hr}$, in how much time will they be $18 \mathrm{km}$apart?

With an average speed of $40 \frac{\mathrm{km}}{\mathrm{hr}}$ a train reaches its destination in time. If it goes with an average speed of $35 \frac{\mathrm{km}}{\mathrm{hr}}$ it is late by $15 \min$. Find the total journey.

A thief is noticed by a policeman from a distance of $200$m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of $10$km and $11$km per hour respectively. What is the distance between them after $6$minutes?

If a car travels $20 \mathrm{km}$ in $2 \mathrm{hours}$ and another $10 \mathrm{km}$ in $3 \mathrm{hours}$, the average speed of the car is:

A train is going in the north direction at a speed of $18 m/s$ from a point while another train is going in the south direction at a speed of $12 m/s$ from the same point at the same time. In how much time, the distance between both the trains will be $367.2 km ?$

A thief robbed a shop and ran in a car at a speed of $60$km/hour at $11:00$ am. The Police located the position of the thief and ran after him at $11:15$ a.m. from the shop in a car at $65$km/hour. Find the time at which the thief will be caught?

A train with a speed of $72 \mathrm{km}/\mathrm{hr}$ crosses a pole in $30$ seconds, then find the time taken by the same train to cross the pole with $54 \mathrm{km}/\mathrm{hr}$$?$

If A start from P with a speed of $60 \mathrm{km}/\mathrm{hr}$ at $8:00 \mathrm{am}$ and B starts with a speed of $70 \mathrm{km}/\mathrm{hr}$ at $8:30 \mathrm{am}$ from Q and the total distance between P and Q is $680 \mathrm{km},$ find at what time they will cross each other$?$

Two friends, A and B are standing at points P and Q, respectively. If A starts moving towards point Q from point P with the speed of $(\mathrm{x} – 5)$ km/hr. After $2$ hours, B starts moving towards point P from point Q with speed $(\mathrm{x} + 5)$ km/hr, and they meet at the midpoint of P and Q. Find the time taken by A to go from point P to point Q. if the distance between point P and point Q is $480$ km.

A person travels $124 \mathrm{km}$ at an average speed of $77.5 \mathrm{km}/\mathrm{hr}$. If he travels $60 \mathrm{km}$ at the speed of $75 \mathrm{km}/\mathrm{hr}$, then at what speed, he covers the rest of the distance?

Ram and Shyam are travelling from point A to B, which are $60 \mathrm{km}$ apart. Travelling at a certain speed ram takes one hour more than Shyam to reach point B. If Ram doubles his speed he will take $30 \min$ less than Shyam to reach point B. At what speed was Ram driving from point A to B?