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A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?
(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.
(2) The distance the ferry covers to cross the lake once is 30 kilometers.
(2) The distance the ferry covers to cross the lake once is 30 kilometers.
- 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 'D'. Can you explain this answer?
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Most Upvoted Answer
A ferry crosses a lake and then returns to its starting point by the s...
Understanding the Problem
The ferry travels across the lake and back, with known speeds for both legs of the trip. We need to determine the time taken for the first leg.
Given Information
- Speed on the first leg: 15 km/h
- Return trip time: 3 hours
Let’s denote:
- Distance across the lake = D kilometers
- Time for the first leg = T hours
Using the formula: Distance = Speed x Time, we have:
1. For the first leg: D = 15T
2. For the return leg: D = Speed (unknown) x 3
Evaluating Statement (1)
- Average speed for the round trip = Total Distance / Total Time
- Total Distance = 2D
- Total Time = T + 3
From the average speed of 12 km/h, we have the equation:
12 = (2D) / (T + 3)
This equation allows us to solve for T using the relationship established. Therefore, Statement (1) alone is sufficient.
Evaluating Statement (2)
- Distance to cross the lake D = 30 km
Using this information, we can find the time for the first leg:
From D = 15T, we substitute D:
30 = 15T
Thus, T = 2 hours. Statement (2) alone is also sufficient.
Conclusion
Since both statements independently provide enough information to determine the time taken for the first leg of the trip, the correct answer is option 'D'. Each statement alone is sufficient to solve the problem.
The ferry travels across the lake and back, with known speeds for both legs of the trip. We need to determine the time taken for the first leg.
Given Information
- Speed on the first leg: 15 km/h
- Return trip time: 3 hours
Let’s denote:
- Distance across the lake = D kilometers
- Time for the first leg = T hours
Using the formula: Distance = Speed x Time, we have:
1. For the first leg: D = 15T
2. For the return leg: D = Speed (unknown) x 3
Evaluating Statement (1)
- Average speed for the round trip = Total Distance / Total Time
- Total Distance = 2D
- Total Time = T + 3
From the average speed of 12 km/h, we have the equation:
12 = (2D) / (T + 3)
This equation allows us to solve for T using the relationship established. Therefore, Statement (1) alone is sufficient.
Evaluating Statement (2)
- Distance to cross the lake D = 30 km
Using this information, we can find the time for the first leg:
From D = 15T, we substitute D:
30 = 15T
Thus, T = 2 hours. Statement (2) alone is also sufficient.
Conclusion
Since both statements independently provide enough information to determine the time taken for the first leg of the trip, the correct answer is option 'D'. Each statement alone is sufficient to solve the problem.
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Community Answer
A ferry crosses a lake and then returns to its starting point by the s...
Understanding the Problem
To determine how long the ferry takes for the first leg of the trip, we need to analyze both statements provided.
Analysis of Statement (1)
- The average speed for the entire round trip is 12 kilometers per hour.
- Let D be the distance one-way across the lake. The total round trip distance is 2D.
- The total time for the round trip is:
- Time for the first leg (T1) + Time for the return leg (T2).
- Since T2 = 3 hours, we have:
- Average speed = Total distance / Total time
- 12 = 2D / (T1 + 3)
- Rearranging gives us:
- T1 + 3 = 2D / 12
- T1 = (2D / 12) - 3
- From this statement alone, we cannot find T1 without knowing D.
Analysis of Statement (2)
- The distance to cross the lake is 30 kilometers.
- Therefore, D = 30.
- The ferry travels at 15 km/h for the first leg:
- Time for the first leg (T1) = Distance / Speed = 30 / 15 = 2 hours.
- This statement alone provides a definitive answer for T1.
Conclusion
- Since Statement (1) does not provide enough information to find T1 alone, but Statement (2) does, each statement is sufficient on its own. Thus, the correct answer is option 'D': EACH statement ALONE is sufficient to answer the question asked.
To determine how long the ferry takes for the first leg of the trip, we need to analyze both statements provided.
Analysis of Statement (1)
- The average speed for the entire round trip is 12 kilometers per hour.
- Let D be the distance one-way across the lake. The total round trip distance is 2D.
- The total time for the round trip is:
- Time for the first leg (T1) + Time for the return leg (T2).
- Since T2 = 3 hours, we have:
- Average speed = Total distance / Total time
- 12 = 2D / (T1 + 3)
- Rearranging gives us:
- T1 + 3 = 2D / 12
- T1 = (2D / 12) - 3
- From this statement alone, we cannot find T1 without knowing D.
Analysis of Statement (2)
- The distance to cross the lake is 30 kilometers.
- Therefore, D = 30.
- The ferry travels at 15 km/h for the first leg:
- Time for the first leg (T1) = Distance / Speed = 30 / 15 = 2 hours.
- This statement alone provides a definitive answer for T1.
Conclusion
- Since Statement (1) does not provide enough information to find T1 alone, but Statement (2) does, each statement is sufficient on its own. Thus, the correct answer is option 'D': EACH statement ALONE is sufficient to answer the question asked.
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A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer?
Question Description
A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. 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 A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer?.
A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. 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 A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer?.
Solutions for A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Here you can find the meaning of A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer?, a detailed solution for A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer? has been provided alongside types of A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A ferry crosses a lake and then returns to its starting point by the same route. The first time it crosses the lake, the ferry travels at 15 kilometers per hour. The ferry’s return trip takes 3 hours. How many hours does the ferry take for the first leg of the trip?(1) The ferry’s average speed for the entire round trip is 12 kilometers per hour.(2) The distance the ferry covers to cross the lake once is 30 kilometers.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 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.
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