Time, Speed and Distance

A farmer travelled a distance of $61 \mathrm{km}$ in $9 \mathrm{hr}$. He travelled partly on foot with $4 \mathrm{km}/\mathrm{hr}$ and partly on bicycle with $9 \mathrm{km}/\mathrm{hr}$. The distance travelled on foot is:

The respective ratio between the average speed of a car, a train and a tractor is $3:6:1$. The average speed of the train is six times the average speed of the tractor which covers $175 \mathrm{km}$ in $7 \mathrm{hours}$. What is the sum of the speed of car and train together?

A thief steals a car at $10.30$ $a.m$. and drives it at $60km/hr.$ The theft is discovered at $11:00$ $a.m$ and the owner sets off in another car at $75km/hr$ , when will the owner overtake the thief ?

Two cyclists start from the same place in opposite directions. One goes towards north at $18 \mathrm{kmph}$ and the other goes towards south at $20 \mathrm{kmph}$. What time will they take to be $47.5 \mathrm{km}$ apart?

A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speeds is _____

A car travelled $30\%$ of the time at a speed of $20 \mathrm{km}/\mathrm{hr}$, $40\%$ of the time at a speed of $30 \mathrm{km}/\mathrm{hr}$ and the rest of the journey at a speed of $40 \mathrm{km}/\mathrm{hr}$. What is the average speed of the car for the entire journey?

Walking at $\frac{4}{5}$ of its usual speed, a man is $10$ minutes late. Find the usual time to cover the journey ?

A car driver travels from the plains to the hill stations, which are $108 km$ apart at an average speed of $18km/hr$. In the return trip, he covers the same distance at average speed of $36 km/hr.$ Find the average speed of the car cover the entire distance of $500 km$?

A train can travel $20\%$ faster than a car. Both start from point A at the same time and reach point B, $75 \mathrm{km}$ away from A at the same time. On the way, however, the train lost about $12.5$ minutes while stopping at the stations. The speed of the car is$:$

Ramesh goes from X to Y via U, V and W. The time taken by Ramesh to cover these distances in the ratio of $5 : 3 : 2 : 5$. If he takes $5$ hours to go from X to Y, then what is the differences between the time taken by him to go from U to V and that from W to Y?

Two trains are standing next to each other with their engines in same line. They start moving simultaneously. The length and speed of faster train is $375 \mathrm{m}$ and $63 \mathrm{kmph}$ and that of slower train is $450 \mathrm{m}$ and $45 \mathrm{kmph}$. After how many second both trains would be clear of each other?

With a speed of $48 \mathrm{km}/\mathrm{h}$. Raghu is able to complete his journey in $2 \mathrm{hours} 28 \min$. If he wants to cover the same distance in $1 \mathrm{hour} 36 \min$, then what should be his new speed?

Two trains $\mathrm{X} \mathrm{and} \mathrm{Y}$ of lengths $450 \mathrm{meters} \mathrm{and} 550 \mathrm{meters}$ respectively, are running in the same direction on parallel tracks. If the speed of $\mathrm{X} \mathrm{and} \mathrm{Y}$ are $58 \mathrm{km}/\mathrm{h} \mathrm{and} 86 \mathrm{km}/\mathrm{h}$ respectively, then what will be the time taken by them to cross each other?

A train is to cover $370 \mathrm{km}$ at a uniform speed. After running $100 \mathrm{km}$, the train could run at a speed $5 \mathrm{kmph}$ less than its normal speed due to some technical fault. The train got delayed by $36 \mathrm{minutes}$. What is the normal speed of the train (in $\mathrm{kmph}$)?

One fifth of the journey is covered at a speed of $30 \mathrm{km}$ per hour, One forth of the journey at the speed of $25 \mathrm{km}$ per hour and the rest at the $60 \mathrm{km}$ per hour. What is the average speed in kilometre per hour for the whole journey?

X and Y start at the same time to ride from place A to place B, which is $80 \mathrm{km}$ away from A. X travel $4 \mathrm{km}$ per hour slower than Y. Y reaches place B and at the at once turn back meeting X $16 \mathrm{km}$ from place B. Y's speed (in $\mathrm{km}/\mathrm{h}$) is ______.

Owing to heavy traffic on the route, a man finds that his speed is reduced by $25\%$ today with respect to normal days. As a result, he reaches his office $20$min late than normal. How much time did he take today to reach the office?

In a race of $100 \mathrm{m}, \mathrm{A}$ beats $\mathrm{B}$ by $20 \mathrm{m}$ or $4 \mathrm{s}$. What is the speed of $\mathrm{A}$ ?

Josh and Mike live $13 \mathrm{km}$ apart. Yesterday, Josh started to ride his bicycle towards Mike's house. A little later Mike started to ride his bicycle towards Josh's house. When they met, Josh had ridden for twice the length of time as Mike and at four-fifths of Mike's rate. How many kilometre had Mike ridden when they met?

In a race, Dipesh beats Himanshu by $120$ metres, Himanshu beats Hardik by $150$ metres and Dipesh beats Hardik by $240$ metres. If they all run a $2000$ metres race, then find what distance will be covered by Hardik (in metres) in the time Dipesh covers $1350$ metres.