GMAT Exam > GMAT Questions > Bill and Sally see each other across a field....
Start Learning for Free
Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?
(1) Bill ran at an average speed that was 50% greater than Sally's average speed.
(2) Bill ran at an average speed 4 feet per second faster than Sally's average speed.
(1) Bill ran at an average speed that was 50% greater than Sally's average speed.
(2) Bill ran at an average speed 4 feet per second faster than Sally's average speed.
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
- d)EACH statement ALONE is sufficient to answer the question asked
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Bill and Sally see each other across a field. They are 500 feet apart....
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
Statement 1: Bill ran at an average speed that was 50% greater than Sally's average speed.
Let's assume Sally's average speed is S feet per second. Therefore, Bill's average speed would be 1.5S feet per second.
To find the distance that Bill would have traveled when they meet, we need to determine the time it takes for them to meet.
Let's assume the time it takes for them to meet is T seconds.
The distance traveled by Sally in T seconds would be S * T feet.
The distance traveled by Bill in T seconds would be 1.5S * T feet.
Since they meet in the middle of the field, the sum of the distances traveled by Sally and Bill would be equal to the total distance between them, which is 500 feet.
Therefore, we can write the equation: S * T + 1.5S * T = 500.
We have one equation with two variables (S and T), so we cannot solve for the individual values of S and T. However, we can solve for the ratio of S to T, which will give us the ratio of the distances traveled by Sally and Bill.
Let's simplify the equation: S * T + 1.5S * T = 500.
Combining like terms, we get: 2.5S * T = 500.
Dividing both sides by 2.5T, we get: S = 200 / T.
This equation shows that the ratio of S to T is constant. Therefore, the ratio of the distances traveled by Sally and Bill is also constant.
Since statement 1 provides us with the ratio of the speeds of Bill and Sally, we can determine the ratio of the distances traveled by them. Therefore, statement 1 alone is sufficient to answer the question.
Statement 2: Bill ran at an average speed 4 feet per second faster than Sally's average speed.
Statement 2 only provides the difference in speed between Bill and Sally, but it does not provide any information about the actual speeds of Bill and Sally. Therefore, statement 2 alone is not sufficient to answer the question.
Therefore, the correct answer is option (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Statement 1: Bill ran at an average speed that was 50% greater than Sally's average speed.
Let's assume Sally's average speed is S feet per second. Therefore, Bill's average speed would be 1.5S feet per second.
To find the distance that Bill would have traveled when they meet, we need to determine the time it takes for them to meet.
Let's assume the time it takes for them to meet is T seconds.
The distance traveled by Sally in T seconds would be S * T feet.
The distance traveled by Bill in T seconds would be 1.5S * T feet.
Since they meet in the middle of the field, the sum of the distances traveled by Sally and Bill would be equal to the total distance between them, which is 500 feet.
Therefore, we can write the equation: S * T + 1.5S * T = 500.
We have one equation with two variables (S and T), so we cannot solve for the individual values of S and T. However, we can solve for the ratio of S to T, which will give us the ratio of the distances traveled by Sally and Bill.
Let's simplify the equation: S * T + 1.5S * T = 500.
Combining like terms, we get: 2.5S * T = 500.
Dividing both sides by 2.5T, we get: S = 200 / T.
This equation shows that the ratio of S to T is constant. Therefore, the ratio of the distances traveled by Sally and Bill is also constant.
Since statement 1 provides us with the ratio of the speeds of Bill and Sally, we can determine the ratio of the distances traveled by them. Therefore, statement 1 alone is sufficient to answer the question.
Statement 2: Bill ran at an average speed 4 feet per second faster than Sally's average speed.
Statement 2 only provides the difference in speed between Bill and Sally, but it does not provide any information about the actual speeds of Bill and Sally. Therefore, statement 2 alone is not sufficient to answer the question.
Therefore, the correct answer is option (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Community Answer
Bill and Sally see each other across a field. They are 500 feet apart....
Statement (1): Bill ran at an average speed that was 50% greater than Sally's average speed.
Since we know that Bill's speed is 50% greater than Sally's, we can use this information to determine their relative speeds. Let's say Sally's average speed is x feet per second. Bill's speed would be 1.5x feet per second.
To find the time it takes for them to meet, we can use the formula:
time = distance / relative speed
The distance between them is 500 feet, and their relative speed is the sum of their speeds because they are running toward each other. So the time is:
time = 500 / (x + 1.5x) = 500 / 2.5x = 200 / x
To find the distance Bill traveled, we multiply the time by Bill's speed:
distance traveled by Bill = (200 / x) * (1.5x) = 300 feet
Statement (1) alone is sufficient to answer the question.
Statement (2): Bill ran at an average speed 4 feet per second faster than Sally's average speed.
In this statement, we know the speed difference between Bill and Sally, but we don't have enough information to determine their actual speeds or the time it takes for them to meet. Therefore, statement (2) alone is not sufficient to answer the question.
Based on the analysis above, the correct answer is A: Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question asked.
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
|
Explore Courses for GMAT exam
|
|
Similar GMAT Doubts
Top Courses for GMATView all
Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?
Question Description
Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Bill and Sally see each other across a field. They are 500 feet apart. If at the same instant of time they start running toward each other in a direct line how far will Bill have traveled when they meet?(1) Bill ran at an average speed that was 50% greater than Sallys average speed.(2) Bill ran at an average speed 4 feet per second faster than Sallys average speed.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
|
|
Explore Courses for GMAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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