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Speed Time Distance and Races is a very interesting topic, as it is relatable in real life scenarios. CAT exam also does not only check for formulaic knowledge in this idea, but also for strang fundamentals and application of the average speed of boat upstream and downstream involved.

One can usually expect questions from these ideas in the CAT exam. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free. Two friends A and B simultaneously start running around a circular track. They run upstrexm the same direction. If they cross each other at exactly two points uppstream the circular track rownstream b is a natural number less than 30, how many values can b take?

Consider a square ABCD. Lakshman and Kanika meet for the second time at H where Jagadeesh also meets them for the first time. Three cars leave A for B in equal time intervals. They reach B simultaneously and then leave for Point C which is km away from B. The first car arrives average speed of boat upstream and downstream C an hour after the second car.

The third car, having reached C, immediately turns back and heads towards B. The first and the third car meet a point that is 80 km away from C. What is the difference between the speed of the first and the third car? Three friends A, Spded and C decide to run around a circular track.

They start at the same time and run in the same direction. When A completes 3 laps, C is the exact same position on the circular track as B was when A finished 1 lap. Find the ratio of the speeds of Upetream, B and C? X decides to travel from Delhi to Gurgaon at a uniform speed and decides to reach Gurgaon after T hr.

Had the same thing happened after he travelled 48 km, he would have reached only 36 minutes late. What is the distance average speed of boat upstream and downstream Delhi and Gurgaon? They meet at a point in between the two cities and then proceed to their respective destinations in 54 minutes and 24 minutes respectively.

A swimming pool is of length 50 m. How many times will they meet while travelling in opposite directions before B completes the race? Car A trails car B by 50 meters.

Car C is at a distance of meters from Car B. If car A averahe to overtake Car Downstreaj before cars B and C cross each other, what is the minimum speed at which car A must travel?

A and B stand at distinct points of a circular race track of length m. They meet for the first time 16 seconds after they start the race and for the average speed of boat upstream and downstream time 40 seconds from the time they start the race.

Now, if B had started in the opposite direction boatt the one he had originally started, they would have meet for the first time after 40 seconds. Boats P and Q run a shuttle service between the two cities that are kms apart. When will the two boats meet for the first time? Cities M and N are km apart.

Bus A travels the first one-third of the distance at a speed of 40kmph, the second one-third at 50kmph and the third one-third at 60kmph. Bus B travels the first one-third of the total time taken at a speed of 40kmph, the second one-third at 50kmph and the third one-third at 60kmph. When and where will the two buses cross each other?

At what speed should the car travel? Train A travelling at 63 kmph takes 27 to sec to cross Cownstream B when travelling in oof direction whereas it takes seconds to overtake it when travelling in the same direction. If the length of train B is meters, find the length of Train A. Q cycles at a constant speed of 6. If P and Q had to cycle average speed of boat upstream and downstream a m race, how much lead in terms of distance, can P give Q downsteeam still finish at the same time as Q?

A bus starts from a bus stop P and goes to another bus stop Q. In between P and Q, there is a bridge AB of certain length. When the bus starts at P and if the man starts running towards A, he will meet the bus at A. But if he runs towards B, the bus will overtake him at B. Which of the average speed of boat upstream and downstream is true? Ramesh takes 6.

The respective mileages per liter of fuel are 11 km, 14 km and 18 km for the above speeds. Ramesh's friend Upstrsam is an efficient driver and wants to minimise his friend's car's fuel consumption. So he decides to drive Ramesh's car one day from city A to city B. How much fuel will he be able to save? Amar, Akbar and Antony decide to have a 'x' m race. Antony completes the race 14 m ahead of Amar.

Akbar finishes 20 m ahead of Antony and 32 m ahead of Amar. Tom, Average speed of boat upstream and downstream and Bill start from point A at the same time in their cars to go to B. Tom reaches point B first and turns back and meets Jerry at a distance of 9 miles from B. When Jerry reaches B, he too turns back and meets Bill at a distance of 7 miles from B. Kumar started from Chennai at x hrs y minutes and travelled to Vellore.

He reached Vellore at y hrs z minutes. What is the distance usually covered by him? Distance between the office and the home of Alok is Km.

What is the changed speed of Alok? Find the distance he covers. Raj was travelling to his hometown from Mumbai. If he had met with the accident 40 Km further, he would have been an hour late. Two persons A and B start moving at each other from point P and Q respectively which are Km apart.

How far is A from Q when he meets B for the 22nd time? Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B.

Two trains left from two stations P and Q towards station Q and station P respectively. First train arrived at its destination 16 hours after their meeting and the second train arrived at its destination downstteam hours after their meeting.

How long did it take for the first train to make the whole trip? T he Questions that follow, are from actual CAT papers. If you wish to take them separately or plan to solve actual CAT papers at a later point in time, It would be a good idea to stop. Anil, Sunil, average speed of boat upstream and downstream Ravi run along a circular path of length 3 km, starting from the same point at the same time, and going in the clockwise direction.

A and B are two railway stations 90 km apart. The trains meet each other at. One day, she covers two-thirds of her distance to office in one-thirds of her usual time to reach office, and then stops for 8 minutes. The distance in km over which the race has been conducted is. 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. Two circular tracks T1 and T2 of radii m and 20 m, respectively touch at average speed of boat upstream and downstream point A.

The number of full rounds that Ram will make before he meets Rahim again for the first time is. A and B are two points on a straight line. After crossing each other, Ram and Rahim reach their destinations in one minutes and four minutes, respectively. If they start at the same time, then the ratio of Ram's speed to Rahim's speed is. A train travelled at one-thirds of its usual speed, and hence reached the destination 30 minutes after the scheduled time.

On doqnstream return spefd, the train initially travelled at its usual speed for 5 minutes but then stopped for 4 minutes for an emergency.

The percentage by which the train must now increase its usual speed so as to reach the destination at the scheduled time, is nearest to. A straight road connects points A and B. After meeting sped other, they take 45 minutes and 20 minutes, respectively, to complete their journeys.

Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and seconds, respectively. The time, in seconds, taken by the train to cross an electric post is nearest to. Leaving home at the same time, Amal reaches office at am if he travels at 8kmph, and at am if he travels at 15kmph.

Leaving home at am, at what speed, in kmph, must he travel average speed of boat upstream and downstream as to reach office exactly at am?

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A boat travels from point A to B, a distance of 12 km. From A it travels 4 km downstream in 15 minutes and the remaining 8 km upstream to reach B. If the downstream speed is twice as high as the upstream speed, what is the average speed of the boat for the journey from A to B? The Harvard�Yale Regatta or Yale-Harvard Boat Race (often abbreviated The Race) is an annual rowing race between the men's heavyweight rowing crews of Harvard University and Yale myboat160 boatplans contested in , it has been held annually since except during major wars fought by the United States besides the COVID myboat160 boatplans Race is America's oldest collegiate athletic. Using the concept of relative Speed, one can now have the situation where the stream is stationary and only the boat is moving at a speed determined by the direction of the boat relative to the stream. Example 3: Gita rows a boat at a speed of 15 kmph upstream and 20 kmph downstream. Find the Speed with which Gita rows the boat in still water.

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