CAT Time, Speed and Distance questions with solutions
Speed, relative motion, trains, boats and streams, races and circular tracks. 38 questions from our 2016–2025 CAT pattern papers. Each has the answer and a full solution.
CAT 2025
CAT 2024
CAT 2023
CAT 2022
CAT 2021
- A motorboat travels 30 km upstream and 44 km downstream in 10 hours. It travels 40 km upstream and 55 km downstream in 13 hours.
- P and Q start at the same time from towns X and Y respectively, walking towards each other at constant speeds. After they cross paths, P takes 16…
- Two trains start at the same time from stations P and Q, 360 km apart, and travel towards each other at constant speeds. After they meet, the train…
- A boat covers 24 km upstream and 36 km downstream in 6 hours. It covers 36 km upstream and 24 km downstream in 6.5 hours. What is the speed of the…
- Two cars A and B start at the same time from towns P and Q respectively, 300 km apart, and drive towards each other at constant speeds. After they…
CAT 2020
- Two cars start at the same time from towns P and Q, 420 km apart, and drive towards each other at constant speeds. They meet after 4 hours. The car…
- A boat covers 18 km upstream and 50 km downstream in 8 hours. It covers 30 km upstream and 25 km downstream in 7.5 hours. What is the speed of the…
- A boat covers 36 km downstream and 24 km upstream in 6 hours. It also covers 48 km downstream and 16 km upstream in 6 hours.
- A and B start together from the same point on a circular track of length 1,200 m and run in the same direction at constant speeds of 8 m/s and 5 m/s…
- Two trains of lengths 180 m and 120 m cross each other completely in 10 seconds when running in opposite directions, and in 50 seconds when running…
- What is the speed of the stream?
CAT 2019
- Two trains of lengths 150 m and 100 m take 10 seconds to cross each other when running in opposite directions and 50 seconds when running in the same…
- A motorboat takes 10 hours to travel 40 km upstream and 60 km downstream. It takes 11 hours to travel 32 km upstream and 84 km downstream.
- Train A, 180 m long, runs at 54 km/h. It crosses train B, running on a parallel track in the opposite direction, completely in 12 seconds. When both…
- Two cyclists A and B start at the same time from towns P and Q respectively and ride towards each other at constant speeds. After they meet, A takes…
- Two runners start together from the same point on a circular track and run in opposite directions at 8 m/s and 5 m/s. They keep running until they…
CAT 2018
- A boat travels 30 km upstream and 44 km downstream in 10 hours. It travels 40 km upstream and 55 km downstream in 13 hours.
- A and B start at the same time from towns P and Q respectively and travel towards each other. After they meet, A takes 16 hours to reach Q and B…
- A, B and C start running at the same time from the same point on a circular track of length 600 m. A and B run clockwise at 5 m/s and 3 m/s…
- Two trains of lengths 150 m and 250 m cross each other completely in 10 seconds when running in opposite directions. When running in the same…
- A boat goes 30 km upstream and 44 km downstream in 10 hours. It goes 40 km upstream and 55 km downstream in 13 hours.
- In a 1 km race, A beats B by 100 m, and in another 1 km race B beats C by 100 m. By how many metres would A beat C in a 1 km race, if all run at…
CAT 2017
- Asha walks up a moving 'up' escalator at a constant pace and takes 30 steps to reach the top in 20 seconds. Bina, walking up the same moving…
- Two runners start together from the same point on a circular track of length 600 m and run in opposite directions at constant speeds of 5 m/s and 7…
- In a 1 km race, A beats B by 100 m and B beats C by 100 m. By how many metres does A beat C in a 1 km race? (Assume all run at constant speeds.)
- A train crosses a signal pole in 12 seconds and a 360-metre long platform in 30 seconds, moving at a constant speed. What is the length of the train?
- A boat covers 30 km upstream and 44 km downstream in 10 hours. It covers 40 km upstream and 55 km downstream in 13 hours. What is the speed of the…
CAT 2016
- A train overtakes a man walking at 9 km/h in the same direction in 10 seconds. It crosses another man walking at 9 km/h in the opposite direction in…
- A and B start running simultaneously from the same point on a circular track of length 600 m, in the same direction, at 5 m/s and 3 m/s respectively.…
- A train crosses a pole in 12 seconds and a 300-metre-long platform in 27 seconds. What is the length of the train?
- A boat goes 48 km upstream and 72 km downstream in 12 hours. It goes 72 km upstream and 48 km downstream in 13 hours.
Other Quant topics
Time and Work 23Pipes and Cisterns 11Simple and Compound Interest 33Profit, Loss and Discount 42Mixtures and Alligation 35Ratio and Partnership 17Percentages 30Averages 19Permutations, Combinations and Sets 28Probability 20Logarithms and Indices 16Quadratic Equations and Polynomials 18Linear Equations 9Inequalities and Modulus 19Functions 22Maxima and Minima 11Progressions 29Remainders and Divisibility 15Number System 19Coordinate Geometry 29Triangles 24Circles 18Polygons and Quadrilaterals 12Mensuration 13