CUET General Test Arithmetic > Time, Speed & Distance PYQs

Amit is walking at a speed of 10 km/hr. After every kilometer, he takes a rest for 5 minutes. What is the time taken to cover a distance of 5 kilometers by Amit?

A man can walk uphill at the rate of $2\frac{1}{2}$ $km/hr$ and down hill at the rate of $3\frac{1}{2}$ $km/hr$. If the total time required to walk a certain distance up the hill and return to the starting point is 4 hr. 36 min, then what is the distance walked up the hill by the man?

2 trains running in oppsite directions cross a stationary lady standing at a point named F in 26 seconds and 21 seconds respectively. Further, the 2 trains cross each other in 24 seconds. Determine the ratio of the speed of the 2 trains?

A Police officer sees a chain snatcher and runs to catch her from a distance of 50 metres. When the Police officer starts chasing the chain snatcher from a distance of 50 metres, the chain snatcher is running @ 2 metres per second. At the same time the Police Officer is chasing the chain snatcher @ 4 metres per second. Find the distance covered by the chain snatcher when the Police Officer shall be able to successfully catch her?

Two trains of equal length are running from the same origin on parallel tracks in the same direction, at the speeds of 58 km/hr and 73 km/hr, respectively. The faster train passes the other train in 144 seconds. What is the length (in meters) of each train?

P travels in his car and covers 2/5 part of his journey at a speed of 20 km/h, 1/8 part at 5 km/h and the remaining 19/40 part at 19 km/h. What is the average speed of the car during the entire journey?

During a journey of 200 Km, the average speed of a car is 125 km/h. But if for the first 100 km, the driver increases its earlier average speed by 20% and then decreases it to its (2/3)rd for next 100 km. What will be the new average speed?

A and B started together to cover a certain distance, at a speed of 8 km/h and 10 km/h, respectively. If A arrives 15 minutes after B, then find the distance.

A boy travels between point A and point B at a speed of 6 km/h and returns at a speed of 9 km/h. If the total time taken by him is 1 hour 15 min, the distance between A and B is:

A train passes a 200 m long platform in 40 seconds and a man standing on the platform in 25 seconds. The speed of the train (km/hr) is:

A man traveled from the village to the post-office at the rate of 25 km/hr and walked back at the rate of 4 km/hr. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village.

A motor boat can travel at 15km/hr in still water. It traveled 63 km downstream in a river and then returned taking altogether 10 hr. What is the rate of flow of the river?

A boat covers 150 km downstream and 40 km upstream in 4 hours while it covers 70 km downstream and 24 km upstream in 2 hours. Determine the velocity of the current?

A cyclist covers a distance of 170 meters in 17 seconds. The time taken by the cyclist to cover the distance of 6 km, shall be how much?

Two dogs are standing 960 m apart from each other. The first dog runs at a speed of 9 m/s and the second runs at a speed of 7 m/s. If two dogs run towards each other, after how much time will they bump into each other?

A bus passes two persons moving in the direction of the moving bus at a speed of 3 km/hr and 5 km/hr, respectively. The bus passes the first person in 10 s and the second person in 11 s. Find the speed of the bus.

A sales agent travels a distance of 50 km in 2 hours and 30 minutes. How much faster, in kilometres per hour, on average, must he travel to make such a trip in 5/6 hours less time?

Piyush covers a certain distance on bike. Had he moved 3 km/h faster, he would have taken 20 min less. If he had moved 2 km/h slower, he would have taken 20 min more. The distance covered (in km) is:

The ratio of speeds of a train and a car is 16:15, respectively. A bus covers a distance of 480 km in 8 hours. If the speed of the bus is 3/4th of the speed of the train, then the distance covered by the car in 6 hours is:

Ananyaa travels a certain distance at a speed of 3 kmph and reaches her destination late by 15 minutes. If she travels at a speed of 4 kmph, she reaches her destination 15 minutes earlier. Find the distance that Ananyaa is traveling to reach her destination.

Two cyclists, k kilometers apart, and starting at the same time, would be together in r hours if they traveled in the same directions, but would pass each other in t hours if they travelled in opposite directions. The ratio of the speed of the faster cyclist to that of the slower is:

A boy is running at a speed of p km/hr to cover a distance of 1 km. But, due to the slippery ground, his speed is reduced by q km/hr (p>q). If he takes r hours to cover the distance, then

A car covers a certain distance in 7 hours with a uniform speed. The same distance could have been covered in 6 hours if the speed of the car was increased by 10 Km/h. What is the distance covered?

A person rows a boat 10 kms along the stream in 30 minutes and returns to the starting point in 40 minutes. The speed of the stream is:

A train running at the speed of 80 km/h crosses a 350 m long tunnel in 36 seconds. The length of the train (in m) is:

A man can row a boat at 8 km/h in still water. If the speed of the water current is 2 km/h and it takes him 2 hours to row to a place and come back, then how far (in km) is the place ?

'A' rides a cycle at an average speed of 30 km/h and reaches the destination in 6 hours. B covers the same distance in 4 hours. If A increases the average speed by 10 km/h and B increases the average speed by 5 km/h What would be the difference in their time taken to reach the destination ?

A boy is running at a speed of $p$ km/h to cover a distance of 1 km but due to slippery ground his speed is reduced by $q$ km/h ($p > q$). If he takes $r$ hours to cover the distance, which of the following condition is true:

Find the distance covered by a man who walked for 15 minutes at a speed of 3 km/h.

A train running at a speed of 45 km/h crosses a 100 m long platform in 60 seconds. The time taken by the train to cross an electric pole is:

Which of the following speeds is maximum ?

A thief is spotted by a policeman from a distance of 200 meters. The policeman starts chasing at a speed of 10 km/h while the thief is running at a speed of 8 km/h. After how much time (in minutes) will the thief be caught ?

The speed of a train is 75 km/h. The distance covered by the train in 6 seconds is :

A man walking at a speed of 5 km / h passes a bridge in 15 minutes. What is the length of the bridge (in meters)?

Two men P and Q start together from place A at 3 km/h and 3.75 km/h respectively for place B. Q reaches half an hour before P. What is the distance that each one has covered ?

Jyoti can row a boat at $7\frac{1}{2}$ km/h in still water. If in a river running at 1.5 km/h, she takes 50 minutes to row to a place A and come back, then how far off is the place A ?

A 110 m long train takes 3 seconds to pass a pole. How long is the platform if the train passes it in 15 seconds?

Which of the following speeds is the least?

If 180 meter long train crosses a pole in 9 seconds, find the speed of train in kilo meter/hour.

A man swimming in a river flowing at 3km/hr, find that in a given time he can swim thrice as far downstream as he can swim upstream. What will be his speed in still water?

A girl increase her speed to 11/5 time of his original speed. So, she reaches her school 15 minute before the usual time. What is her usual time?

A train take 15 second to cross a pole. If the speed of the train is 60 km/hr, then length of the train is:

The time taken by train 360 m long travelling at 21 Kmph, in passing a person walking in the same direction at 3 kmph, will be:

A 500 metre long train is running at a speed of 90 km/hr. It will cross a 250 metre long railway bridge in :

A man can row at 6 kmph in still water. If the velocity of current is 2 kmph and it takes him 3 hour to row to a place and come back, how far is the place?

A, B and C are in a cycle race of 1500 meters. A cycles twice as fast as B, C cycles $\frac{1}{2}$ as fast as B, C completes the race in 40 minutes. Then, where was B from the finishing line when A finished the race?

A train running at a speed of 54 km/hr crosses a platform which is double of the length of the train in 18 seconds. What is the length of the platform and train?

Viraj swims for $12\frac{1}{2}$ hours while going 24 km down stream and 36 km upstream. But he takes just 12 hours to swim 36 km down steam and 24 km up stream. At what rate is the river flowing ?

The speed of the boat in still water is 20 km/hrs and speed of the stream is 5 km/hr. Find the time taken to travel 50 km downstream and 30 km upstream by the boat.

A woman on vacation travels first 150 km at 60 km/hr and the next 150 km at 25 km/hr. The average speed for the first 200 km of the tour is:

A bus travelled 3 km distance in 5 second. What is the speed of bus in this distance ?

A train running at a speed 360 km/hr passes a platform with double length in 30 sec. Find the length of platform.

Alice is faster than Bob, Alice and Bom each walk 30 km. The sum of their speeds is 8 km/hr and sum of time taken by them is 16 hours. Then Alice's speed is equal to

A and B are two points in a river. Point X and Y divide the line AB in three equal parts. Let the flow of the river is from A to B. The ratio of the time taken to row from point A to Y and from B to Y is 3 : 4. Find the ratio of the speed of the boat upstream to the flow of the river.

Suresh covers a distance by a cycle at 10 km/h. He returns to the starting point in a car at a speed of 50 km/h. Find the average speed for the entire journey.

A 400 m long train passes a railway platform in 20 seconds with speed 90 km/hr. What is the length of platform?