Time Speed & Distance is one of the most important and most repeated topics in Arithmetic for CAT 2026, appearing in both standalone and data-driven Quant formats. This page provides comprehensive CAT arithmetic important questions covering relative speed, trains, boats & streams, and circular motion — all based on repeated CAT patterns and high-difficulty problem types. The focus is on building strong conceptual speed and logical accuracy for the CAT Quant section.
Q90. City A and city B are 270 km away from each other. Private cars run from city A to city B at 60 kmph and a car leaves city A for city B every 30 minutes. Red buses run from city B to city A at 45 kmph and a red bus leaves city B for city A every 45 minutes. The first car starts from city A at 8 am and the first red bus starts from city B at 9 am. How many cars will cross the first red bus till the first car reaches city B?
Q91. Two trains A and B were moving in opposite directions. The two trains completely cross each other in 2 minutes. The front end of train A crossed the rear end of train B in 40 seconds after the front ends of the trains had crossed each other. If the length of train A is 574 m, then the length of train B, in metres, is:
Q92. Namita completes exactly 2 more rounds than Namrata in 24 minutes if they start walking along a circular track starting from the same point at the same time in the same direction. They meet for the first time exactly after 4 minutes if they walk in opposite directions. If the length of the circular track is 800 meters, then the walking speed of Namrata, in km/hr, is:
Q93. Hari and Hemant start running on two different circular tracks from their respective starting points simultaneously. The radii of the two tracks are 35 meters and 105 meters respectively. Speed of Hari is 10 kmph and that of Hemant is 15 kmph. The number of full rounds made by Hari in the time in which he completes 5 rounds more than that of Hemant is:
Q94. A stretch of a straight road is parallel to a rail track. A train running on that track at a constant speed crosses two bikers from behind on the road, whose speeds are 36 kmph and 54 kmph, in 40 seconds and 50 seconds respectively. The length of the train, in meters, is:
Q95. A and B simultaneously start running from X to Y at the speeds of 9 m/s and 6 m/s respectively. A reaches Y, immediately turns back and starts running towards X. As A crosses B, at the same instant, C starts running from X towards Y at 4 m/s. B reaches Y and then turns back and starts running towards X. If the distance between X and Y is 150 meters, then the distance (from Y), in meters, of the point at which B will meet C for the first time will be:
Q96. Three friends A, B and C simultaneously start running from the same point in the same direction on a circular track of length 5 km. The speeds of A, B and C are 5 kmph, 9 kmph and 12 kmph respectively. When B and C meet for the first time at the starting point, the minimum distance along the track between the starting point and A, in km, is:
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