Time Speed And Distance Questions

A train $105\text{ metres}$ long travels at $60\text{km/hr}$. How long does it take to cross another train $175\text{ metres}$ long, running at $54\text{km/hr}$ in the same direction?

A train is running with a speed of $79.2\text{km/hr}$ and it crosses a pole in $7\text{sec}$. Then find the length of the train.

To travel $708\text{km}$, an Express train takes $6\text{ hours}$ more than Rajdhani train. If however, the speed of the Express train is doubled, it takes $3\text{ hours}$ less than Rajdhani train. What is the speed of Rajdhani train?

A train starts moving from X at 5:00 p.m. and moves towards Y with a speed of 55km/hr. Another train starts moving from Y at 7:00 p.m. and moves towards X with a speed of 40km/hr. Both of them meet at 11:00 p.m. at Z. What is the ratio of distances XZ and YZ?

Two trains are moving in opposite directions at $29\text{ km/h}$ and $25\text{ km/h}$. The faster train crosses a man sitting in the slower train in 6 seconds. Find the length of the faster train.

A thief is spotted by a policeman from a distance of 250 m. When the policeman starts chasing, the thief also starts running. If the speed of the thief is $16\text{ km/h}$ and that of the policeman is $20\text{ km/h}$, how far would the thief have run before he is caught?

If a train crosses a pole in $15\text{seconds}$, how long will it take for the train, travelling at a speed of $90\text{km/hr}$, to cross a bridge that is $600\text{meters}$ long?

A train of length 245 metres takes 20 seconds to cross a 355 metres long bridge. How much time (in seconds) will the train take to cross a 390 metres long platform?

When Amar walks from $P$ to $Q$ and returns from $Q$ to $P$ on a cycle, it takes him $29$ minutes. By walking both ways, it takes him $49$ minutes. If he rides a cycle both ways, then what will be the total time (in minutes)?

Two trains start at the same time from stations P and Q and travel towards each other at the speeds of 75 km/h and 100 km/h, respectively. When they meet, it is found that one train has travelled 50 km more than the other. The distance (in km) between two stations is:

A train crosses a $1000\text{ m}$ long bridge in $52\text{ seconds}$ and another $700\text{ m}$ long bridge in $40\text{ seconds}$. Assuming the train is running at a uniform speed, what is the speed (in km/h) of the train?

A train is running at a speed of $86\text{ km/h}$ on a straight railway track and a small car on a parallel road is running at a speed of $40\text{ km/h}$. How long (in s) will the train take to cross the car completely if the train is $490\text{ m}$ long and they are running in opposite directions?

A thief running at $7\text{km/h}$ is chased by a policeman whose speed is $12\text{km/h}$. If the thief is $280\text{m}$ ahead of the policeman, then the time required for the policeman to catch the thief will be:

A man wishes to cover a distance of $1\text{km}$ in river water. In still water he takes 12 minutes to cover it, but in the flowing river he takes 13 minutes. The speed of the flowing water of the river is:

A car covers $20\text{km}$ in the first quarter of an hour, $25\text{km}$ in the second quarter of that hour and $15\text{km}$ in the third quarter. The average speed of the car (in $\text{km/h}$) over the entire journey is:

A man runs at a speed of $6\text{km/h}$. He takes 30 minutes rest at the end of every $4\text{km}$. How long (in hours) will he take to cover $15\text{km}$?

The speed of a boat in still water is $15\text{km/h}$ and the speed of the current is one-third the speed of the boat in still water. How much time will it take to go $24\text{km}$ upstream and $20\text{km}$ downstream, assuming that no time is lost in changing direction?

A person crosses a road 350 metres wide in 70 seconds. His speed (in km/h) is:

A policeman chases a thief on a straight road. The policeman catches the thief in 15 minutes if he drives with a speed of 60 km/h and catches the thief in 0.5 hours if he drives with a speed 45 km/h. What should be his driving speed (in km/h) to catch the thief in just 10 minutes?

Reshma covers 45 km at a speed of 15 km/h by bicycle, 80 km at a speed of 40 km/h by car, and another 6 km at a speed of 2 km/h on foot. Find her average speed for the whole journey (correct to 2 decimal places).

A man walking at three-fourth of his usual speed, reaches his office 4 minutes late. How much time (in minutes) does he usually take to reach his office?

A goods train 350 m long passes through a tunnel of 1250 m in 80 seconds. What is the speed of the train?

Two trains of equal length take 10 s and 20 s, respectively, to cross a pole. If these trains are moving in the same direction, then how long will they take to cross each other?

While travelling from A to B, Raghav travels a quarter of the distance at 10km/h, the next quarter of the distance at 15km/h, the third quarter of the distance at 20km/h, and the final quarter of the distance at 30km/h. While travelling on exactly the same route, Manish travels for a quarter of the total time taken for his journey at 10km/h, the next quarter of the total time taken for his journey at 15km/h, the third quarter of the total time taken for his journey at 20km/h, and the final quarter of the total time taken for his journey at 30km/h. If the overall average speed of Raghav during his journey is given as ykm/h, and that of Manish is given as zkm/h, find the value of (z−y).

Veena and Karmesh were at different places in Delhi. They fixed a meeting point to meet to settle some issue. Veena started her journey at 8:00 a.m. from place A and reached place B at 4:00 p.m. and Karmesh started moving from place B 2 hours later than the time Veena started and could reach place A at 5:00 p.m. the same day, via the same route. At what time will Karmesh and Veena meet each other?

P drives a car for 5 hours and after every hour he doubles the speed. In the fifth hour, his speed is 128 km/h. What is his average speed of the journey in km/h?

Rashi travelled a distance of 400 km at an average speed of 50 km/h. She covers the first half distance in the first lag in 2 hours, while she covers another lag at half the speed of that of the first lag in 1 hour. What is the speed (in km/h) of the remaining distance?

A $255\text{m}$ long train is running at a speed of $72\text{km/h}$. It crosses a platform of length $745\text{m}$ in:

A man can row $7.5\text{km}$ an hour in still water. He finds that it takes four times as much time to row upstream as it takes to row downstream. The speed of the stream is:

A policeman follows a thief who is 400m ahead of him. If they run at the speed of 7km/h and 6km/h, respectively, what distance does the policeman run to catch up with the thief?

A man walks from point A to B at a speed of 15km/h, but comes back from point B to A at a speed of 25km/h. Find his average speed.

A man travels the first $200\text{km}$ of his journey at $80\text{km/h}$. Due to bad weather he travels the next $200\text{km}$ of his journey at $50\text{km/h}$. What is his average speed for the first $400\text{km}$ of his journey?

A boat goes $80\text{ km}$ upstream in $16\text{ hours}$ and $72\text{ km}$ downstream in $12\text{ hours}$. The speed of the boat in still water is:

A person can row $22\frac{1}{2}\text{ km}$ an hour in still water and he finds that it takes him twice as long to row up as to row down the stream. The speed of the stream is:

If the speed of a boat moving against the current is $18\text{km/hr}$, what is the speed of the stream if the boat's speed downstream is $50\%$ greater than its speed upstream?

A man travels the first $200\text{km}$ of his journey at $80\text{km/hr}$. Due to bad weather he travels the next $200\text{km}$ of his journey at $50\text{km/hr}$. What is his average speed for the first $400\text{km}$ of his journey?

A train travelling at a uniform speed, clears a platform $240\text{ meters}$ long in $10\text{ seconds}$ and passes a telegraph post in $6\text{ seconds}$. Find the length of the train and its speed.

The time taken by a train $35\text{ m}$ long, running at $90\text{ km/hr}$, in crossing an electric pole is:

The ratio between the speed of travelling of A and B is $2:3$ and therefore A takes $15$ minutes more than the time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance?

A boat goes $80\text{km}$ upstream in $16$ hours and $72\text{km}$ downstream in $12$ hours. The speed of the boat in still water is:

A person can row $22\frac{1}{2}\text{km}$ an hour in still water and he finds that it takes him twice as long to row up as to row down the stream. The speed of the stream is:

If the speed of a boat moving against the current is $18\text{km/h}$, what is the speed of the stream if the boat's speed downstream is $50\%$ greater than its speed upstream?

A thief is noticed by a policeman from a distance of 800m. The thief starts running and the policeman chases him. The thief and the policeman run at speeds of 20km/h and 25km/h, respectively. What is the distance between them after 9 minutes?

A part of a journey is covered in $10$ hours at $96\text{km/h}$ and the remaining part of it is covered in $8$ hours $30$ minutes at $80\text{km/h}$. What is the total length of the journey (in $\text{km}$)?

A boat can move $35\text{km}$ upstream and the same distance downstream in a total time of $8$ hours. If the speed of the boat in still water is $9\text{km/h}$, then the speed (in $\text{km/h}$) of the stream is:

The speed of a boat in still water is 10km/h and the speed of the stream is 3km/h. How much time (in hours) will it take to sail 39km downstream and then return immediately 28km upstream?

A certain distance is covered by a car at a uniform speed in $8$ hours. If the speed is reduced by $6\text{km/h}$, it will take $1$ hour more. What is the original speed of the car (in $\text{km/h}$)?

A person travels two-fifth of a distance at a speed of 40km/h and the remaining at a speed of 60km/h. What is his average speed (in km/h) in the entire journey?

A motorboat, whose speed is 15km/h in still water goes 20km downstream and comes back in a total of 4hours. The speed of the stream (in km/h) is:

Arvind goes to his school by cycle at a speed of 4 km/h and reaches his school 15 minutes late. If he moves at a speed of 4
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km/h, he reaches the school 10 minutes early. What is the distance (in km) of his school from his home?

Two buses cover the same distance moving at speeds of 40 km/h and 50 km/h, respectively. What is the distance covered by each of them (in km) if the slower bus takes one hour more than the faster bus?

A 175 m long train crosses a platform twice its length in 27 seconds. What is the speed (in km/h) of the train?

Walking at $75\%$ of his usual speed, Raghu is $80$ minutes late to his office. What is his usual time in hours to cover the same distance?

A train can travel $50\%$ faster than a car. Both start from point A at the same time and reach point B, $80\text{km}$ away from point A, at the same time. On the way, however, the train lost about $25\text{minutes}$ while stopping at the stations. The speed of the car is:

A truck travels 75km in the first hour and 33km in the second hour. Find the average speed of the truck (in km/h).

In a 150m race, if R gets a 5m head start, then he would beat S by 35m. If S gets a 25m head start in a 100m race, then ________ would win the race by ___________ metres.

Rohit and Dinesh are 64km apart. Rohit can walk at a speed of 15km/hr and Dinesh at the speed of 17km/hr. In how many hours will they meet if they are travelling towards each other?

Two trains running in opposite directions cross a man standing on the platform in 25 seconds and 32 seconds respectively and they cross each other in 30 seconds. The ratio of their speed is:

A started running towards north direction at 6:00 a.m. B also started running towards north direction at 10:00 a.m. At what time will they meet if the speeds of A and B are in the ratio 3:7 and they started from the same point?

A beats B by 125 m in a kilometre race. Find B’s speed if A’s speed is 16 m/sec.

$A$ takes $6$ hours more than $B$ to cover a distance of $60\text{ km}$. But if $A$ doubles his speed, he takes $3$ hours less than $B$ to cover the same distance. The speed (in $\text{km/hr}$) of $A$ is:

The ratio between the speed of travelling of $\text{A}$ and $\text{B}$ is $2:3$ and therefore $\text{A}$ takes $15\text{ minutes}$ more than the time taken by $\text{B}$ to reach a destination. If $\text{A}$ had walked at double the speed, how long would he have taken to cover the distance?

Two trains start at the same time, P from A to B and Q from B to A. If they arrive at B and A, respectively, $2\frac{1}{2}$ hours and $10$ hours after they passed each other, and the speed of P is $90\text{km/hr}$, then the speed of Q in $\text{km/hr}$ is?

In a 3000m race, if vehicle A gives vehicle B a start of 400m, then vehicle A wins the race by 10s. If vehicle A gives vehicle B a start of 750m, then the race ends in a dead heat. How long does vehicle A take to run 3000m?

A car covers the distance from Delhi to Gurugram at 60 km/h and returns at a uniform speed of 40 km/h. The average speed of the car during the whole journey is:

A man walks 3 km and 200 metres in 25 minutes. What is his speed (in km/h)?

In a circular path of 619 m, Preeti and Rani start walking in opposite directions from the same point at the speed of 2.85 km/h and 5.4 km/h, respectively. When they will meet for the first time approximately?

A car is moving at a uniform speed of 35km/h. What is the time it takes to cover 140km?

A man travelled a distance of 47km in 6 hours. He travelled partly on foot at a speed of 6
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km/h and the rest on bicycle at a speed of 8
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km/h. The distance travelled (in km) on bicycle is:

A train, 250 m long, passes a railway platform 200 m long, in 45 s with a uniform speed. What is the time (in seconds) taken by the train to pass a man cycling in the direction of the train at a speed of 6 km/h?

The average speed of a train is 180% of the average speed of a car. The car covers a distance of 990 km in 15 hours. The time taken (in hours) by the train to cover the distance of 891 km is:

Two trains, each $800\text{m}$ long, are running in opposite directions on parallel tracks. Their speeds are $80\text{km/h}$ and $60\text{km/h}$ respectively. Find the time taken by the slower train to pass the driver of the faster train.

Som is slower than Ram, and each travels 150 km. The sum of their speeds is 25 km/h and the sum of the time taken by them is 25 hours. Then, Som's speed is:

What is the average speed of a car in km/h, if it travels 300km in 4h and remaining 150km in 5h?

A man can row a boat at 10km/h in still water. If the speed of the stream is 7km/h, what is the time taken to row a distance of 85km down the stream?

A bus covers the first 80km at a speed of 40km/h. It covers the next 100km at a speed of 50km/h. What is its average speed?

A person covers a distance of 40km by bus in 70mins. After deboarding the bus, he took a rest for 40mins and covered another 20km by taxi in 40mins. Find his average speed for the whole journey.

Ram, standing on a railway platform, noticed that a train took 36 seconds to completely pass through the platform, which was 108 m long, and it took 12 seconds in passing him. Find the speed of the train.

A policeman chases a thief. The speed of the policeman and thief are 18 km/h and 6 km/h, respectively. If the policeman started 10 minutes late, at what distance will he catch the thief?

A policeman spots a thief from a distance of 100 metres. When he starts running after the thief, the thief starts running as well. How far will the thief have to run before being overtaken if his speed is 8 km/h and the policeman's speed is 10 km/h?

In a circular race of 950 m length, A and B start with speeds of 18 km/h and 36 km/h, respectively, in the same direction, at the same time, from the same point. After how many seconds will they meet for the first time at the starting point?

The speed of a boat in still water is 6 km/h and the speed of the stream is 1.5 km/h. In going from point A to point B and returning to A, the boatman takes 2 hours 40 min. Find the distance between points A and B.

A train $600\text{ metres}$ long is running at a speed of $54\text{ km/h}$. How much time will it take to pass completely through a tunnel that is $1.2\text{ kilometres}$ long?

The speed of a boat in still water is 15km/h and the speed of the current is 9km/h. The distance travelled by the boat downstream in 25 minutes is:

Dinesh is travelling on his bike. He will reach point P at 6 p. m. if he travels at 20 km/h. He will reach point P at 2 p. m. if he travels at 30 km/h. At what speed must he travel to reach point P at 4 p. m.?

Arun is going from Delhi to Mumbai for a business trip. He travelled by train to reach Gandhinagar in 16 hours covering a distance of 920km. After a break of 2 hours, he took another train from the same place to Mumbai, covering the distance in 12 hours. Arun took a total of 30 hours to cover the entire distance of 1478km. What was the speed (in km/h) of the train going from Gandhinagar to Mumbai?

An athlete crosses 1200m distance in 9 minutes. What is his speed (in km/h)?

A thief is noticed by a policeman from a distance of 500m. The thief starts running and the policeman chases him. The thief and the policeman run at the speed of 12km/h and 13km/h, respectively. What is the distance between them after 12 minutes?

A train passes a 500m long platform in 12 seconds and a man standing on the platform in 4 seconds. Find the speed of the train.

A teacher travelled a distance of 22km in 7 hours. He travelled partly on foot at the speed of 2km/h and partly on bicycle at the rate of 4km/h. The distance travelled on foot is:

If Tanmay covers three equal distances at the speeds of 2km/h, 3km/h and 4km/h, respectively, then find his average speed (in km/h) during the whole journey. (Rounded off to 2 decimal places)

In a 200-m race, if A gives B a head start of 35m, then A wins the race by 20sec. Alternatively, if A gives B a head start of 55m, the race ends in a dead heat. How long does A take to run 200m?

Two trains, A and B started travelling towards each other at the same time, from places P to Q and Q to P, respectively. After crossing each other, A and B took 9hours and 16hours to reach Q and P, respectively. If the speed of A was 56km/h, then what was the speed (in km/h) of B?

A drives for 2 hours, 2.5 hours, 3 hours, 2 hours and 2.5 hours in five days of a week, respectively. His speeds on these days are 45km/h, 50km/h, 60km/h, 70km/h and 80km/h, respectively. What is his average speed for the week?