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DIRECTIONS for the question: Solve the following question and write the best possible option.
In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?
1. N, 233.34 m
2. S, 116.64 m
3. N, 133.34 m
4. The race ends in a dead heat.
In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?
1. N, 233.34 m
2. S, 116.64 m
3. N, 133.34 m
4. The race ends in a dead heat.
Correct answer is '3'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and writethe b...
When R runs 500 meters, S runs 480 m and N runs 450 m.
In a 1200 m race, if they continue with the same pace then:
When S has run 1200 m, then N runs 1200 * 450/480 = 1125 m
When S has run 1200 m, then N runs 1200 * 450/480 = 1125 m
But N runs at 20% more than his previous speed, thus he would cover = 1125 * 6/5 = 1350 m
Hence, when N runs 1350 m, then S runs 1200 m.
When N runs 1200 m, S runs 1200/1350 * 1200 = 1066.66 m.
Hence, N wins the race by 133.34 meters.
Most Upvoted Answer
DIRECTIONSfor the question:Solve the following question and writethe b...
Given information:
- R beats S by 20 m in a race of 500 meters.
- R beats N by 50 m in the same race.
Objective:
To determine who wins the race between S and N when they run a race of 1200 m, with S running at the same speed as before and N increasing his speed by 20%.
Solution:
Step 1: Calculate the speed of R, S, and N
Let's assume the speed of R, S, and N in the 500 m race are r, s, and n respectively.
From the given information, we can calculate their speeds as follows:
- R's speed = Distance/Time = 500/Time taken by R to complete the race
- S's speed = Distance/Time = 500/Time taken by S to complete the race
- N's speed = Distance/Time = 500/Time taken by N to complete the race
Step 2: Calculate the time taken by R, S, and N
We know that speed = Distance/Time. Rearranging the formula, we can find the time taken as follows:
- Time taken by R = Distance/Speed = 500/r
- Time taken by S = Distance/Speed = 500/s
- Time taken by N = Distance/Speed = 500/n
Step 3: Compare the time taken by R, S, and N
From the given information, we know that R beats S by 20 m and N by 50 m in the 500 m race. This means that R takes less time than S and N to complete the race.
Therefore, we can conclude that the time taken by R is less than the time taken by S and N.
Step 4: Calculate the time taken by S and N in the 1200 m race
In the 1200 m race, we are given that S runs at the same speed as before, while N increases his speed by 20%.
Therefore, the time taken by S to complete the 1200 m race will be the same as before, which is 500/s.
The time taken by N to complete the 1200 m race can be calculated as follows:
- Increased speed of N = Original speed of N + (20% of original speed of N)
- Increased speed of N = n + (0.2n)
- Increased speed of N = 1.2n
So, the time taken by N to complete the 1200 m race is 1200/(1.2n).
Step 5: Compare the time taken by S and N in the 1200 m race
We need to compare the time taken by S and N in the 1200 m race to determine who wins.
If the time taken by S is less than the time taken by N, then S wins the race. If the time taken by N is less than the time taken by S, then N wins the race.
Step 6: Calculate the difference in distance covered by S and N
To determine the difference in the distance covered by S and N, we subtract the distance covered by S from the distance covered by N.
The distance covered by S in the 1200 m race
- R beats S by 20 m in a race of 500 meters.
- R beats N by 50 m in the same race.
Objective:
To determine who wins the race between S and N when they run a race of 1200 m, with S running at the same speed as before and N increasing his speed by 20%.
Solution:
Step 1: Calculate the speed of R, S, and N
Let's assume the speed of R, S, and N in the 500 m race are r, s, and n respectively.
From the given information, we can calculate their speeds as follows:
- R's speed = Distance/Time = 500/Time taken by R to complete the race
- S's speed = Distance/Time = 500/Time taken by S to complete the race
- N's speed = Distance/Time = 500/Time taken by N to complete the race
Step 2: Calculate the time taken by R, S, and N
We know that speed = Distance/Time. Rearranging the formula, we can find the time taken as follows:
- Time taken by R = Distance/Speed = 500/r
- Time taken by S = Distance/Speed = 500/s
- Time taken by N = Distance/Speed = 500/n
Step 3: Compare the time taken by R, S, and N
From the given information, we know that R beats S by 20 m and N by 50 m in the 500 m race. This means that R takes less time than S and N to complete the race.
Therefore, we can conclude that the time taken by R is less than the time taken by S and N.
Step 4: Calculate the time taken by S and N in the 1200 m race
In the 1200 m race, we are given that S runs at the same speed as before, while N increases his speed by 20%.
Therefore, the time taken by S to complete the 1200 m race will be the same as before, which is 500/s.
The time taken by N to complete the 1200 m race can be calculated as follows:
- Increased speed of N = Original speed of N + (20% of original speed of N)
- Increased speed of N = n + (0.2n)
- Increased speed of N = 1.2n
So, the time taken by N to complete the 1200 m race is 1200/(1.2n).
Step 5: Compare the time taken by S and N in the 1200 m race
We need to compare the time taken by S and N in the 1200 m race to determine who wins.
If the time taken by S is less than the time taken by N, then S wins the race. If the time taken by N is less than the time taken by S, then N wins the race.
Step 6: Calculate the difference in distance covered by S and N
To determine the difference in the distance covered by S and N, we subtract the distance covered by S from the distance covered by N.
The distance covered by S in the 1200 m race
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DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer?
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DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer?.
DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer?.
Solutions for DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer?, a detailed solution for DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer? has been provided alongside types of DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice DIRECTIONSfor the question:Solve the following question and writethe best possible option.In a race of 500 meters, R beats S by 20 m and N by 50 m. If S and N are running a race of 1200 m with S running exactly at the same speed as before and N increases his speed by 20 %, then who wins the race and by how many meters?1. N, 233.34 m2. S, 116.64 m3. N, 133.34 m4. The race ends in a dead heat.Correct answer is '3'. Can you explain this answer? tests, examples and also practice CAT tests.
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