# Top 30 CAT Time Speed Distance Questions With Video Solutions

The questions from time, speed, distance and work are essential to score high in the CAT Quant section. The questions from this topic cover concept of time, speed & distance, etc. To help the aspirants ace this topic, we provide you with all the questions from CAT's previous papers with detailed video solutions, which are given below, separated year-wise.  If you're weak in Time Speed and Distance questions, make sure you learn all the basic concepts of solving the questions and also all the important formulas of TSD. Keep practising free CAT mocks where you'll get a fair idea of how questions are asked, and type of questions asked in CAT exam. Time Speed and Distance Questions PDF consists of the Important Time, Speed and Distance problems and concepts to solve them. This Time and Work CAT questions and answers PDF will be very helpful for Quantitative aptitude section of CAT. These are a good source of practice for CAT preparation; If you want to practice these questions, you can download this CAT TSD Questions PDF along with the detailed solutions (and video solutions) below, which is completely Free

## CAT Time, Speed and Distance Questions Weightage

 Year Time, Speed & Distance 2023 4 2022 5 2021 3 2020 11 2019 7 2018 6

## CAT Time, Speed and Distance & Work - Formulas, Tips & Tricks

Tip 1: Questions based on Time, Speed, Distance & Work concepts appear in the CAT and other MBA entrance exams every year. If you're starting the prep, firstly understand the CAT Quants Syllabus; Based on our analysis of the CAT Previous Year Questions this was the CAT Time Distance & Work weightage: Three questions were asked from TSD & Work (in CAT 2021).

Tip 2: In the CAT exam, TSD and Work are Not very tough quant topics. A strong foundation in this topic will help you in answering these questions. Getting yourself acquainted with the basics of these concepts will help you solve the problems. Learn all the major formulae from these concepts. You can learn all the Important CAT Time Distance & Work Formulas here.

Time speed and distance is o

Getting yourself acquainted with the basics of this concept will help you solve the problems. Check out the below some of the most helpful tricks to solve TSD & work questions.

Distance = Speed*Time

Speed = Distance/Time

Time = Distance/Speed

While converting the Speed in m/s to km/hr, multiply it by 3.6. It is because 1 m/s = 3.6 km/hr.

If the ratio of the speeds of A and B is a : b, then

The ratio of the times taken to cover the same distance is 1/a : 1/b or b : a.

The ratio of distance travelled in equal time intervals is a : b.

Average speed when time is same Sa= S1 +S2 /2

Average speed when distances are same Sa= 2(S1S2)/ (S1+S2)

1. Clocks - Relative Velocity Formula

CLOCKS:

In a well functioning clock, both hands meet after every 720 / 11 Mins.

It is because the relative speed of the minute hand with respect to the hour hand = 11/2 degrees per minute.

## CAT 2023 Time Speed Distance questions

#### Question 1

The minor angle between the hours hand and minutes hand of a clock was observed at 8:48 am. The minimum duration, in minutes, after 8.48 am when this angle increases by 50% is

#### Question 2

Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi. The speed, in km/h, at which Vijay should drive so that all the three cross each other at the same time, is

#### Question 3

Brishti went on an 8-hour trip in a car. Before the trip, the car had travelled a total of $$x$$ km till then, where $$x$$ is a whole number and is palindromic, i.e., $$x$$ remains unchanged when its digits are reversed. At the end of the trip, the car had travelled a total of 26862 km till then, this number again being palindromic. If Brishti never drove at more than 110 km/h, then the greatest possible average speed at which she drove during the trip, in km/h, was

#### Question 4

A boat takes 2 hours to travel downstream a river from port A to port B, and 3 hours to return to port A. Another boat takes a total of 6 hours to travel from port B to port A and return to port B. If the speeds of the boats and the river are constant, then the time, in hours, taken by the slower boat to travel from port A to port B is

#### Question 5

Arvind travels from town A to town B, and Surbhi from town B to town A, both starting at the same time along the same route. After meeting each other, Arvind takes 6 hours to reach town B while Surbhi takes 24 hours to reach town A. If Arvind travelled at a speed of 54 km/h, then the distance, in km, between town A and town B is

## CAT 2022 Time Speed Distance questions

#### Question 1

Trains A and B start traveling at the same time towards each other with constant speeds from stations X and Y, respectively. Train A reaches station Y in 10 minutes while train B takes 9 minutes to reach station X after meeting train A. Then the total time taken, in minutes, by train B to travel from station Y to station X is

#### Question 2

Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are 60 km apart. If the speed of one of the ships is 6 km per hour more than the other one, then the speed, in km per hour, of the slower ship is

#### Question 3

Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take 1.5 hours if they travel towards each other, but 10.5 hours if they travel in the same direction. If the speed of the slower car is 60 km/hr, then the distance traveled, in km, by the slower car when it meets the other car while traveling towards each other, is

#### Question 4

Moody takes 30 seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes 20 seconds to finish riding the escalator if he walks at twice his normal speed in the same direction. If Moody decides to stand still on the escalator, then the time, in seconds, needed to finish riding the escalator is

#### Question 5

Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length 24 km. When the slower ship travelled 8 km, the triangle formed by the new positions of the two ships and the port became right-angled. When the faster ship reaches the port, the distance, in km, between the other ship and the port will be

## CAT 2021 Time Speed Distance questions

#### Question 1

Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in m, is

#### Question 2

Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of length of train A to that of train B is

#### Question 3

Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in 45 minutes, Amal completes exactly 3 more rounds than Mira. If they walk in opposite directions, then they meet for the first time exactly after 3 minutes. The number of rounds Mira walks in one hour is

## CAT 2020 Time Speed Distance questions

#### Question 1

The distance from B to C is thrice that from A to B. Two trains travel from A to C via B. The speed of train 2 is double that of train 1 while traveling from A to B and their speeds are interchanged while traveling from B to C. The ratio of the time taken by train 1 to that taken by train 2 in travelling from A to C is

#### Question 2

In a car race, car A beats car B by 45 km. car B beats car C by 50 km. and car A beats car C by 90 km. The distance (in km) over which the race has been conducted is

#### Question 3

Vimla starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she covers two-thirds of her distance to office in one-thirds of her usual total time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time is

#### Question 4

A and B are two points on a straight line. Ram runs from A to B while Rahim runs from B to A. After crossing each other. Ram and Rahim reach their destination in one minute and four minutes, respectively. if they start at the same time, then the ratio of Ram's speed to Rahim's speed is

#### Question 5

Two circular tracks T1 and T2 of radii 100 m and 20 m, respectively touch at a point A. Starting from A at the same time, Ram and Rahim are walking on track T1 and track T2 at speeds 15 km/hr and 5 km/hr respectively. The number of full rounds that Ram will make before he meets Rahim again for the first time is

#### Question 6

A and B are two railway stations 90 km apart. A train leaves A at 9:00 am, heading towards B at a speed of 40 km/hr. Another train leaves B at 10:30 am, heading towards A at a speed of 20 km/hr. The trains meet each other at

#### Question 7

Leaving home at the same time, Amal reaches the office at 10:15 am if he travels at 8 km/hr, and at 9:40 am if he travels at 15 km/hr. Leaving home at 9.10 am, at what speed, in km/hr, must he travel so as to reach office exactly at 10 am?