All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
CAT Exam  >  CAT Questions  >  Three runners A,B,C run a race with A finishi... Start Learning for Free
Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track?
Clear all your CAT doubts with EduRev
Most Upvoted Answer
Three runners A,B,C run a race with A finishing 20m ahead of B and 34m...
**Given Information:**

- Runner A finishes 20m ahead of Runner B.
- Runner A finishes 34m ahead of Runner C.
- Runner B finishes 21m ahead of Runner C.
- Each runner runs at a constant distance.

**Let's assume:**

- The distance covered by Runner B is x meters.

**Calculating the Distances:**

- From the given information, we can calculate the distances covered by each runner as follows:

1. Distance covered by Runner A = Distance covered by Runner B + 20m
2. Distance covered by Runner A = Distance covered by Runner C + 34m
3. Distance covered by Runner B = Distance covered by Runner C + 21m

**Setting up Equations:**

- Based on the above assumptions, we can set up the following equations:

1. Distance covered by Runner B = x
2. Distance covered by Runner A = x + 20m
3. Distance covered by Runner A = x + 34m
4. Distance covered by Runner C = x - 21m

**Solving the Equations:**

- To find the length of the race track, we need to determine the value of x (distance covered by Runner B).

- Equating the distances covered by Runner A in equations 2 and 3:
x + 20m = x + 34m
Simplifying, we get: 20m = 34m
This is not possible, so there is no solution.

- Hence, there is no valid length of the race track that satisfies the given conditions.

**Conclusion:**

- Based on the given information, it is not possible to determine the length of the race track as the equations do not have a valid solution.
Explore Courses for CAT exam

Similar CAT Doubts

Directions: The below table represents the points earned by the four participating teams (Ninjas, Spartans, Fighters & Rangers) in the Grand Finale of the National Sports Quiz Contest, which comprised of three rounds, Litius, Latius, and Lortius. The scores obtained by the four teams have been represented as A, B, C, and D in no particular order. The overall winner of the Quiz Contest is the team with the highest cumulative points across the three rounds, while the team finishing second-highest on points, would be declared Runners-Up.The following additional information is provided too:- In the Litius round, Ninjas had the maximum number of points The cumulative scores across the three rounds of the Spartans and Rangers differ by a margin of 12 pointsGiven the following two statements, what can be said regarding them?Statement 1: The Winners of the Quiz was Team RangersStatement 2: Team Ninjas emerged Runners-UpDirections: The below table represents the points earned by the four participating teams (Ninjas, Spartans, Fighters & Rangers) in the Grand Finale of the National Sports Quiz Contest, which comprised of three rounds, Litius, Latius, and Lortius. The scores obtained by the four teams have been represented as A, B, C, and D in no particular order. The overall winner of the Quiz Contest is the team with the highest cumulative points across the three rounds, while the team finishing second-highest on points, would be declared Runners-Up.The following additional information is provided too:- In the Litius round, Ninjas had the maximum number of points The cumulative scores across the three rounds of the Spartans and Rangers differ by a margin of 12 pointsGiven the following two statements, what can be said regarding them?Statement 1: The Winners of the Quiz was Team RangersStatement 2: Team Ninjas emerged Runners-UpIf Ninjas earned five points more than the Spartans in one particular round of the Quiz, then which team definitely did not make it to the Top 2 Finish?

The fitness school marathon attracted 16 entrants this year. Each of the five houses entered a team of three runners and field was made up by the Sports master, Alamkhir, who is the sixteenth runner. The school houses were competing for the trophy. The number of points by each entrant would be equal to his finishing position. The five houses tied for the cup, their totals being equal, although no two competitors tied for the same position. In order to determine the order in which the houses should keep the trophy for 73 days each in a year, they multiplied the finisher’s positions together in each house. The house with the smallest product, Black, would hold the trophy first and so on to the house with the largest product, Blue who held it last. But per chance Green and White houses still tied, and had to be separated by the toss of the coin.Mr. Alamkhir later noted that no house had two finishers in consecutive positions although Green house would have achieved this had Mr. Alamkhir himself not managed to get between two of the runners in the race.Q.The product of Black house is

DIRECTIONSfor the question:The fitness school marathon attracted 16 entrants this year. Each of the five houses entered a team of three runners and field was made up by the Sports master, Alamkhir, who is the sixteenth runner. The school houses were competing for the trophy. The number of points by each entrant would be equal to his finishing position. The five houses tied for the cup, their totals being equal, although no two competitors tied for the same position. In order to determine the order in which the houses should keep the trophy for 73 days each in a year, they multiplied the finisher’s positions together in each house. The house with the smallest product, Black, would hold the trophy first and so on to the house with the largest product, Blue who held it last. But per chance Green and White houses still tied, and had to be separated by the toss of the coin.Mr. Alamkhir later noted that no house had two finishers in consecutive positions although Green house would have achieved this had Mr. Alamkhir himself not managed to get between two of the runners in the race.Q. The possible position of Mr. Alamkhir is

The fitness school marathon attracted 16 entrants this year. Each of the five houses entered a team of three runners and field was made up by the Sports master, Alamkhir, who is the sixteenth runner. The school houses were competing for the trophy. The number of points by each entrant would be equal to his finishing position. The five houses tied for the cup, their totals being equal, although no two competitors tied for the same position. In order to determine the order in which the houses should keep the trophy for 73 days each in a year, they multiplied the finisher’s positions together in each house. The house with the smallest product, Black, would hold the trophy first and so on to the house with the largest product, Blue who held it last. But per chance Green and White houses still tied, and had to be separated by the toss of the coin.Mr. Alamkhir later noted that no house had two finishers in consecutive positions although Green house would have achieved this had Mr. Alamkhir himself not managed to get between two of the runners in the race.Q.Which of the following is a possible combination of the Red, the second house?

Directions: The below table represents the points earned by the four participating teams (Ninjas, Spartans, Fighters & Rangers) in the Grand Finale of the National Sports Quiz Contest, which comprised of three rounds, Litius, Latius, and Lortius. The scores obtained by the four teams have been represented as A, B, C, and D in no particular order. The overall winner of the Quiz Contest is the team with the highest cumulative points across the three rounds, while the team finishing second-highest on points, would be declared Runners-Up.The following additional information is provided too:- In the Litius round, Ninjas had the maximum number of points The cumulative scores across the three rounds of the Spartans and Rangers differ by a margin of 12 pointsGiven the following two statements, what can be said regarding them?Statement 1: The Winners of the Quiz was Team RangersStatement 2: Team Ninjas emerged Runners-UpDirections: The below table represents the points earned by the four participating teams (Ninjas, Spartans, Fighters & Rangers) in the Grand Finale of the National Sports Quiz Contest, which comprised of three rounds, Litius, Latius, and Lortius. The scores obtained by the four teams have been represented as A, B, C, and D in no particular order. The overall winner of the Quiz Contest is the team with the highest cumulative points across the three rounds, while the team finishing second-highest on points, would be declared Runners-Up.The following additional information is provided too:- In the Litius round, Ninjas had the maximum number of points The cumulative scores across the three rounds of the Spartans and Rangers differ by a margin of 12 pointsGiven the following two statements, what can be said regarding them?Statement 1: The Winners of the Quiz was Team RangersStatement 2: Team Ninjas emerged Runners-UpIf Rangers were able to avoid a last position finish, then which team won the Quiz?

Top Courses for CATView all

Top Courses for CAT

Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track?
Question Description
Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track?.
Solutions for Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track? defined & explained in the simplest way possible. Besides giving the explanation of Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track?, a detailed solution for Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track? has been provided alongside types of Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track? theory, EduRev gives you an ample number of questions to practice Three runners A,B,C run a race with A finishing 20m ahead of B and 34m ahead of C, while B finishes 21m ahead of C. Each of them run at constant distance. What is length of race track? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
SaveJoin the Discussion on the App for FREE
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup