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A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)
  • a)
    40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuram
  • b)
    41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuram
  • c)
    42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuram
  • d)
    35 km/hr towards the Rock & 39 km/hr while returning to Kanchipuram
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A boat carries passengers to Rock of Vivekananda and back from Kanchip...
Speed of boat in upstream = 20 – 2 = 18 km/h
Time after which hole was detected = 90 min
So distance covered 18 x (90/60) = 27 km
Distance yet to be covered = 100 – 27 = 73 km
Now the boat has to travel 73 km towards Vivekanand rock and then 100 km back to Kanchipuram is 

Let x1 be the speed of boat towards
Vivekanand rock and x2 be the speed of boat towards Kanchipuram

In this equation if we substitute
x1 = 42 km/hr
x2 = 36 km/hr

which is true.
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Most Upvoted Answer
A boat carries passengers to Rock of Vivekananda and back from Kanchip...
Given Data:
- Distance from Kanchipuram to Rock of Vivekananda = 100 km
- Speed of ferry at the start = 20 km/hr
- Time taken before realizing the hole = 90 minutes = 1.5 hours
- Rate of sea water entering the ferry = 10 gallons per hour
- Capacity of ferry to sink = 60 gallons
- Current speed of sea water = 2 km/hr

Calculating the situation:
1. In the first 1.5 hours, 15 gallons of sea water entered the ferry.
2. Remaining gallons needed to sink the ferry = 60 - 15 = 45 gallons
3. Time taken to sink the ferry with current rate of water entering = 45 / 10 = 4.5 hours
4. Total time before ferry sinks = 1.5 + 4.5 = 6 hours

Calculating the speed needed:
1. Speed required to reach Rock of Vivekananda in 6 hours = 100 km / 6 hours = 16.67 km/hr
2. Speed of current = 2 km/hr
3. Speed needed to counter current while going = 16.67 + 2 = 18.67 km/hr
4. Speed needed to counter current while returning = 16.67 - 2 = 14.67 km/hr

Final Answer:
Therefore, the driver should now drive the ferry at a speed of 18.67 km/hr towards the Rock and 14.67 km/hr while returning to Kanchipuram in order to reach the destination and return before the ferry sinks. Hence, the correct answer is option 'C'.
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A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuramb)41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuramc)42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuramd)35 km/hr towards the Rock & 39 km/hr while returning to KanchipuramCorrect answer is option 'C'. Can you explain this answer?
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A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuramb)41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuramc)42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuramd)35 km/hr towards the Rock & 39 km/hr while returning to KanchipuramCorrect answer is option 'C'. 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 A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuramb)41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuramc)42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuramd)35 km/hr towards the Rock & 39 km/hr while returning to KanchipuramCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuramb)41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuramc)42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuramd)35 km/hr towards the Rock & 39 km/hr while returning to KanchipuramCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuramb)41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuramc)42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuramd)35 km/hr towards the Rock & 39 km/hr while returning to KanchipuramCorrect answer is option 'C'. Can you explain this answer? 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 A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuramb)41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuramc)42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuramd)35 km/hr towards the Rock & 39 km/hr while returning to KanchipuramCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuramb)41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuramc)42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuramd)35 km/hr towards the Rock & 39 km/hr while returning to KanchipuramCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuramb)41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuramc)42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuramd)35 km/hr towards the Rock & 39 km/hr while returning to KanchipuramCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuramb)41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuramc)42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuramd)35 km/hr towards the Rock & 39 km/hr while returning to KanchipuramCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A boat carries passengers to Rock of Vivekananda and back from Kanchipuram. The distance of Rock of Vivekananda from Kanchipuram is 100 km. One day, the ferry started for Rock of Vivekananda with passengers on board, at a speed of 20 km per hour. After 90 minuts, the crew realized that there is a hole in the ferry and 15 gallons of sea water had already entered the ferry. Sea water is entering the ferry at the rate of 10 gallons per hour. It requires 60 gallons of water to sink the ferry. At what speed should the driver now drive the ferry so that it can reach the Rock of Vivekananda and return back to Kanchipuram just in time before thee ferry sinks? (Current of the sea water from Rock of Vivekananda to Kanchipuram is 2km per hour.)a)40 km/hr towards the Rock & 39 km/hr while returning to Kanchipuramb)41 km/hr towards the Rock & 38 km/hr while returning to Kanchipuramc)42 km/hr towards the Rock & 36 km/hr while returning to Kanchipuramd)35 km/hr towards the Rock & 39 km/hr while returning to KanchipuramCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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